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Volumn , Issue , 2008, Pages 1-464

Special functions for applied scientists

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EID: 84889830554     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-0-387-75894-7     Document Type: Book
Times cited : (421)

References (248)
  • 10
    • 0001142946 scopus 로고
    • Intermediate spaces and interpolation, the complex method
    • Calderòn, A. (1964). Intermediate spaces and interpolation, the complex method, Studia Math. 24, 113-190.
    • (1964) Studia Math. , vol.24 , pp. 113-190
    • Calderòn, A.1
  • 12
    • 38249007039 scopus 로고
    • An analysis of cardinal-spline wavelets
    • Chui, C. K. and Wang, J. Z. (1993) An analysis of cardinal-spline wavelets, J. Approx. Theory, 72(1), 54-68.
    • (1993) J. Approx. Theory , vol.72 , Issue.1 , pp. 54-68
    • Chui, C.K.1    Wang, J.Z.2
  • 14
    • 84990575058 scopus 로고    scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • Daubechies, I. (1998). Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41, 909-996.
    • (1998) Comm. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 16
    • 84966210236 scopus 로고
    • Multiresolution approximations and wavelet orthonormal bases of L2 (R)
    • Mallat, S. (1989). Multiresolution approximations and wavelet orthonormal bases of L2 (R), Trans. Amer. Math. Soc. 315, 69-87.
    • (1989) Trans. Amer. Math. Soc. , vol.315 , pp. 69-87
    • Mallat, S.1
  • 18
    • 0000562670 scopus 로고
    • Decomposition of Hardy functions into square integrable wavelets of constant shape
    • Grossman, A. and Morlet, J. (1984). Decomposition of Hardy functions into square integrable wavelets of constant shape, SIAM J. Math. Anal. 15, 723-736.
    • (1984) SIAM J. Math. Anal. , vol.15 , pp. 723-736
    • Grossman, A.1    Morlet, J.2
  • 19
    • 84985401302 scopus 로고
    • Some results on functions of matrix argument
    • Mathai, A. M. (1978). Some results on functions of matrix argument, Math. Nachr. 84, 171-177.
    • (1978) Math. Nachr. , vol.84 , pp. 171-177
    • Mathai, A.M.1
  • 22
    • 84889864762 scopus 로고    scopus 로고
    • Centre for Mathematical Sciences, India
    • Mathai, A. M. (2004). Modules 1, 2, 3, Centre for Mathematical Sciences, India.
    • (2004) Modules 1, 2, 3
    • Mathai, A.M.1
  • 25
    • 0001239018 scopus 로고
    • Some noncentral distribution problems in multivariate analysis
    • Constantine, A. G. (1963). Some noncentral distribution problems in multivariate analysis, Annals of Mathematical Statistics, 34, 1270-1285.
    • (1963) Annals of Mathematical Statistics , vol.34 , pp. 1270-1285
    • Constantine, A.G.1
  • 26
    • 0000202526 scopus 로고
    • Bessel functions of matrix argument
    • Herz, C. S. (1955). Bessel functions of matrix argument, Annals of Mathematics, 61(3), 474-523.
    • (1955) Annals of Mathematics , vol.61 , Issue.3 , pp. 474-523
    • Herz, C.S.1
  • 27
    • 0001679795 scopus 로고
    • Zonal polynomials of the real positive definite matrices
    • James, A. T. (1961). Zonal polynomials of the real positive definite matrices, Annals of Mathematics, 74, 456-469.
    • (1961) Annals of Mathematics , vol.74 , pp. 456-469
    • James, A.T.1
  • 28
    • 84985401302 scopus 로고
    • Some results on functions of matrix argument
    • Mathai, A. M. (1978). Some results on functions of matrix argument, Math. Nachr. 84, 171-177.
    • (1978) Math. Nachr. , vol.84 , pp. 171-177
    • Mathai, A.M.1
  • 33
    • 11144298944 scopus 로고    scopus 로고
    • A pathway to matrix-variate gamma and normal densities
    • Mathai, A. M. (2005). A pathway to matrix-variate gamma and normal densities, Linear Algebra and Its Applications, 396, 317-328.
    • (2005) Linear Algebra and its Applications , vol.396 , pp. 317-328
    • Mathai, A.M.1
  • 34
    • 0009626343 scopus 로고
    • A Propos d'une note de M. Pierre Humbert
    • Agarwal, R. P. (1953). A Propos d'une note de M. Pierre Humbert, C. R. Acad. Sci. Paris, 296, 2031-2032.
    • (1953) C. R. Acad. Sci. Paris , vol.296 , pp. 2031-2032
    • Agarwal, R.P.1
  • 43
    • 0039186430 scopus 로고
    • Integral transforms based upon fractional integration
    • Fox, C. (1963). Integral transforms based upon fractional integration, Proc. Cambridge Philos. Soc., 59, 63-71.
    • (1963) Proc. Cambridge Philos. Soc. , vol.59 , pp. 63-71
    • Fox, C.1
  • 44
    • 0034369959 scopus 로고    scopus 로고
    • The fractional kinetic equation and thermonuc1ear functions
    • Haubold, H. J. and Mathai, A. M. (2000). The fractional kinetic equation and thermonuc1ear functions, Astrophysics and Space Science, 273, 53-63.
    • (2000) Astrophysics and Space Science , vol.273 , pp. 53-63
    • Haubold, H.J.1    Mathai, A.M.2
  • 46
    • 0010987191 scopus 로고
    • Integral operators involving hypergeometric functions
    • Kalla, S. L. and Saxena, R. K. (1969). Integral operators involving hypergeometric functions, Math. Zeitschr., 108, 231-234.
    • (1969) Math. Zeitschr. , vol.108 , pp. 231-234
    • Kalla, S.L.1    Saxena, R.K.2
  • 48
    • 0030315146 scopus 로고    scopus 로고
    • On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations
    • Kilbas, A. A. and Saigo, M. (1996). On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations, Integral Transforms and Special Functions, 4, 355-370.
    • (1996) Integral Transforms and Special Functions , vol.4 , pp. 355-370
    • Kilbas, A.A.1    Saigo, M.2
  • 49
    • 27744466561 scopus 로고    scopus 로고
    • Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the kernels
    • Kilbas, A. A, Saigo, M. and Saxena, R. K. (2002). Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the kernels, J. Integral Equations and Applications, 14, 377-396.
    • (2002) J. Integral Equations and Applications , vol.14 , pp. 377-396
    • Kilbas, A.A.1    Saigo, M.2    Saxena, R.K.3
  • 50
    • 0842346737 scopus 로고    scopus 로고
    • Generalized Mittag-Leffler function and generalized fractional calculus operators
    • Kilbas, A. A., Saigo, M. and Saxena, R. K. (2004). Generalized Mittag-Leffler function and generalized fractional calculus operators, Integral Transforms and Special Functions, 15, 31-49.
    • (2004) Integral Transforms and Special Functions , vol.15 , pp. 31-49
    • Kilbas, A.A.1    Saigo, M.2    Saxena, R.K.3
  • 51
    • 0010813790 scopus 로고
    • On fractional integrals and derivatives
    • Kober, H. (1940). On fractional integrals and derivatives, Quart. J. Math. Oxford, Ser. 11, 193-211.
    • (1940) Quart. J. Math. Oxford, Ser. , vol.11 , pp. 193-211
    • Kober, H.1
  • 52
    • 84974054595 scopus 로고
    • Some integral equations involving hypergeometric functions
    • Love, E. R (1967). Some integral equations involving hypergeometric functions, Proc. Edin. Math. Soc., 15(2), 169-198.
    • (1967) Proc. Edin. Math. Soc. , vol.15 , Issue.2 , pp. 169-198
    • Love, E.R.1
  • 59
    • 0242354999 scopus 로고    scopus 로고
    • Geometric and physical interpretations of fractional integration and fractional differentiation
    • Podlubny, I. (2002). Geometric and physical interpretations of fractional integration and fractional differentiation, Frac. Calc. Appl. Anal., 5(4), 367-386.
    • (2002) Frac. Calc. Appl. Anal. , vol.5 , Issue.4 , pp. 367-386
    • Podlubny, I.1
  • 60
    • 0842337110 scopus 로고
    • A singular integral equation with a generalized Mittag-Leffler function in the kernel
    • Prabhakar, T. R. (1971). A singular integral equation with a generalized Mittag-Leffler function in the kernel, Yokohama Math. J., 19, 7-15.
    • (1971) Yokohama Math. J. , vol.19 , pp. 7-15
    • Prabhakar, T.R.1
  • 62
    • 0000302803 scopus 로고
    • A remark on integral operators involving the Gauss hypergeometric function
    • Saigo, M. (1978). A remark on integral operators involving the Gauss hypergeometric function, Math. Reports of College of Gen. Edu., Kyushu University, 11, 135-143.
    • (1978) Math. Reports of College of Gen. Edu., Kyushu University , vol.11 , pp. 135-143
    • Saigo, M.1
  • 63
    • 0039050614 scopus 로고
    • Fractional calculus operators associated with a general class of polynomials
    • Saigo, M. and Raina, R. K. (1988). Fractional calculus operators associated with a general class of polynomials, Fukuoka Univ. Science Reports, 18, 15-22.
    • (1988) Fukuoka Univ. Science Reports , vol.18 , pp. 15-22
    • Saigo, M.1    Raina, R.K.2
  • 65
    • 0039186403 scopus 로고
    • On fractional integration operators
    • Saxena, R. K. (1967). On fractional integration operators, Math. Zeitsch., 96, 288-291.
    • (1967) Math. Zeitsch. , vol.96 , pp. 288-291
    • Saxena, R.K.1
  • 67
    • 84885109663 scopus 로고    scopus 로고
    • Alternative derivation of the solution of certain integro-differential equations of Volterra-type
    • Saxena, R. K. (2003). Alternative derivation of the solution of certain integro-differential equations of Volterra-type, Ganita Sandesh, 17(1), 51-56.
    • (2003) Ganita Sandesh , vol.17 , Issue.1 , pp. 51-56
    • Saxena, R.K.1
  • 68
    • 84889798484 scopus 로고    scopus 로고
    • On a unified fractional generalization of free electron laser equation
    • Saxena, R. K. (2004). On a unified fractional generalization of free electron laser equation, Vijnana Parishad Anusandhan Patrika, 47(1), 17-27.
    • (2004) Vijnana Parishad Anusandhan Patrika , vol.47 , Issue.1 , pp. 17-27
    • Saxena, R.K.1
  • 73
    • 6344261966 scopus 로고    scopus 로고
    • On generalized fractional kinetic equations
    • Saxena, R. K, Mathai, A. M and Haubold, H. J. (2004). On generalized fractional kinetic equations, Physica A, 344, 657-664.
    • (2004) Physica A , vol.344 , pp. 657-664
    • Saxena, R.K.1    Mathai, A.M.2    Haubold, H.J.3
  • 74
    • 3142703861 scopus 로고    scopus 로고
    • Unified fractional kinetic equations and a fractional diffusion equation
    • Saxena, R. K, Mathai, A. M. and Haubold, H. J. (2004). Unified fractional kinetic equations and a fractional diffusion equation, Astrophysics and Space Science, 290, 241-245.
    • (2004) Astrophysics and Space Science , vol.290 , pp. 241-245
    • Saxena, R.K.1    Mathai, A.M.2    Haubold, H.J.3
  • 75
    • 84889850943 scopus 로고    scopus 로고
    • On a fractional integral formula of Saigo operator
    • Saxena, R. K. and Nishimoto, K. (2002). On a fractional integral formula of Saigo operator, J. Fract. Calc., 22, 57-58.
    • (2002) J. Fract. Calc. , vol.22 , pp. 57-58
    • Saxena, R.K.1    Nishimoto, K.2
  • 76
    • 51249114478 scopus 로고    scopus 로고
    • Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function
    • Saxena, R. K. and Saigo, M. (2005). Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function. Frac. Calc. Appl. Ana1., 8(2), 141-154.
    • (2005) Frac. Calc. Appl. Ana1. , vol.8 , Issue.2 , pp. 141-154
    • Saxena, R.K.1    Saigo, M.2
  • 77
    • 0010953205 scopus 로고
    • The Use in Mathematical Physics of Erdélyi-Kober Operators and Some of Their Applications
    • B. Ross
    • Sneddon, I. N. (1975). The Use in Mathematical Physics of Erdélyi-Kober Operators and Some of Their Applications, Lecture Notes in Mathematics (Edited by B. Ross), 457, 37-79.
    • (1975) Lecture Notes in Mathematics , vol.457 , pp. 37-79
    • Sneddon, I.N.1
  • 78
    • 0012072325 scopus 로고    scopus 로고
    • Operators of fractional integration and their applications
    • Srivastava, H. M. and Saxena, R. K. (2001). Operators of fractional integration and their applications, Appl. Math. Comput., 118, 1-52.
    • (2001) Appl. Math. Comput. , vol.118 , pp. 1-52
    • Srivastava, H.M.1    Saxena, R.K.2
  • 81
    • 0001799540 scopus 로고
    • Uber den Fundamental satz in der Theorie de Funktionen E∞ (x)
    • Wiman, A. (1905). Uber den Fundamental satz in der Theorie de Funktionen E∞ (x). Acta Math., 29, 191-201.
    • (1905) Acta Math. , vol.29 , pp. 191-201
    • Wiman, A.1
  • 82
    • 0000465303 scopus 로고
    • Bemerkungen zum Begriff des Differentialquotienten gebrochener Ordnung
    • Weyl, H. (1917). Bemerkungen zum Begriff des Differentialquotienten gebrochener Ordnung, Vierteljahresschr. Naturforsch. Gen. Zurich, 62, 296-302.
    • (1917) Vierteljahresschr. Naturforsch. Gen. Zurich , vol.62 , pp. 296-302
    • Weyl, H.1
  • 86
    • 0002167473 scopus 로고
    • Quantum algebras and q-special functions
    • Floreanini, R. and Vinet, L. (1993) : Quantum Algebras and q-Special Functions, Annals of Physics, 221, 53-70.
    • (1993) Annals of Physics , vol.221 , pp. 53-70
    • Floreanini, R.1    Vinet, L.2
  • 87
    • 0003258562 scopus 로고
    • Chapter 16 of Ramanujan's second notebook: Theta functions and q-series
    • American Mathematical Society, Providence
    • Adiga, C., Berndt, B. C., Bhargava, S. and Watson, G. N. (1985). Chapter 16 of Ramanujan's second notebook: Theta functions and q-series, Memoirs Amer. Math. Soc., No. 315, 53, American Mathematical Society, Providence.
    • (1985) Memoirs Amer. Math. Soc. , Issue.315 , pp. 53
    • Adiga, C.1    Berndt, B.C.2    Bhargava, S.3    Watson, G.N.4
  • 89
    • 84968486271 scopus 로고
    • Ramanujan's theories of elliptic functions to alternative bases
    • Berndt, B. C., Bhargava, S and Garvan, F. G. (1995). Ramanujan's theories of elliptic functions to alternative bases, Trans. Amer. Math. Soc., 347, 4163-4244.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 4163-4244
    • Berndt, B.C.1    Bhargava, S.2    Garvan, F.G.3
  • 90
    • 0142254767 scopus 로고
    • Unification of the cubic analogues of the Jacobian Theta-function
    • Bhargava, S. (1995). Unification of the cubic analogues of the Jacobian Theta-function, J. Math. Anal. Appl., 193, 543-558.
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 543-558
    • Bhargava, S.1
  • 92
    • 33645510520 scopus 로고    scopus 로고
    • Unification of modular transformations for cubic theta functions
    • Bhargava, and Fathima, S. N. (2004). Unification of modular transformations for cubic theta functions, New Zealand J. Math., 33, 121-127.
    • (2004) New Zealand J. Math. , vol.33 , pp. 121-127
    • Bhargava1    Fathima, S.N.2
  • 94
    • 21844520107 scopus 로고
    • On Ramanujan's cubic continued fraction
    • Chan, H. H. (1995). On Ramanujan's cubic continued fraction, Acta Arithmetica, LXXIII A, 343-355.
    • (1995) Acta Arithmetica , vol.73 A , pp. 343-355
    • Chan, H.H.1
  • 95
    • 0142228962 scopus 로고    scopus 로고
    • Cubic theta-functions
    • Cooper, S. (2003). Cubic theta-functions, J. Comp. Appl. Math., 160, 77-94.
    • (2003) J. Comp. Appl. Math. , vol.160 , pp. 77-94
    • Cooper, S.1
  • 98
    • 17444366873 scopus 로고    scopus 로고
    • Bivariate semi-Pareto minification processes
    • Alice, T. and Jose, K. K. (2004). Bivariate semi-Pareto minification processes. Metrika, 59, 305-313.
    • (2004) Metrika , vol.59 , pp. 305-313
    • Alice, T.1    Jose, K.K.2
  • 100
    • 21144480304 scopus 로고
    • Linnik distributions and processes
    • Anderson, D. N. and Arnold, B. C. (1993). Linnik distributions and processes, J. Appl. Prob., 30, 330-340.
    • (1993) J. Appl. Prob. , vol.30 , pp. 330-340
    • Anderson, D.N.1    Arnold, B.C.2
  • 101
    • 17444427231 scopus 로고
    • Autoregressive logistic processes
    • Arnold, B. C. and Robertson, C. A. (1989). Autoregressive logistic processes. J. Appl. Prob., 26, 524-531.
    • (1989) J. Appl. Prob. , vol.26 , pp. 524-531
    • Arnold, B.C.1    Robertson, C.A.2
  • 104
    • 0021479290 scopus 로고
    • Time series models to simulate and forecast wind speed and wind power
    • Brown, B. G.; Katz, R. W. and Murphy, A. H. (1984). Time series models to simulate and forecast wind speed and wind power. J. Climate Appl. Meteorol. 23, 1184-1195.
    • (1984) J. Climate Appl. Meteorol. , vol.23 , pp. 1184-1195
    • Brown, B.G.1    Katz, R.W.2    Murphy, A.H.3
  • 105
    • 0001256856 scopus 로고
    • A time-reversibility relationship between two Markov chains with stationary exponential distributions
    • Chernick, M. R., Daley, D. J. and Littlejohn, R. P. (1988). A time-reversibility relationship between two Markov chains with stationary exponential distributions, J. Appl. Prob., 25, 418-422.
    • (1988) J. Appl. Prob. , vol.25 , pp. 418-422
    • Chernick, M.R.1    Daley, D.J.2    Littlejohn, R.P.3
  • 106
    • 38249021003 scopus 로고
    • A note on Linnik's distribution
    • Devroye, L. (1990). A note on Linnik's distribution, Statist. Prob. Letters. 9, 305-306.
    • (1990) Statist. Prob. Letters. , vol.9 , pp. 305-306
    • Devroye, L.1
  • 108
    • 0040708384 scopus 로고
    • A generalization of the results of Pillai
    • Fujita, Y. (1993). A generalization of the results of Pillai, Ann. Inst. Statist. Math., 45, 2, 361-365.
    • (1993) Ann. Inst. Statist. Math. , vol.45 , Issue.2 , pp. 361-365
    • Fujita, Y.1
  • 109
    • 0000959565 scopus 로고
    • First order autoregressive gamma sequences and point processes
    • Gaver, D. P. and Lewis, P. A. W. (1980). First order autoregressive gamma sequences and point processes, Adv. Appl. Prob., 12, 727-745.
    • (1980) Adv. Appl. Prob. , vol.12 , pp. 727-745
    • Gaver, D.P.1    Lewis, P.A.W.2
  • 110
    • 21144480228 scopus 로고
    • The first order autoregressive Mittag-Leffler processes
    • Jayakumar, K. and Pillai, R. N. (1993). The first order autoregressive Mittag-Leffler processes, J. Appl. Prob., 30, 462-466.
    • (1993) J. Appl. Prob. , vol.30 , pp. 462-466
    • Jayakumar, K.1    Pillai, R.N.2
  • 114
    • 0001479094 scopus 로고
    • A problem of Zolotarev and analogues of infinitely divisible and stable distributions in a scheme for summing a random number of random variables
    • Klebanov, L. B., Maniya, G. M. and Melamed, I. A. (1985). A problem of Zolotarev and analogues of infinitely divisible and stable distributions in a scheme for summing a random number of random variables, Theory Prob. Appl., 29, 791-794.
    • (1985) Theory Prob. Appl. , vol.29 , pp. 791-794
    • Klebanov, L.B.1    Maniya, G.M.2    Melamed, I.A.3
  • 116
    • 0001867703 scopus 로고
    • Directionality and reversibility in time series
    • Lawrance, A. J. (1991). Directionality and reversibility in time series. Int. Stat. Review, 59(1), 67-79.
    • (1991) Int. Stat. Review , vol.59 , Issue.1 , pp. 67-79
    • Lawrance, A.J.1
  • 117
    • 0001283731 scopus 로고
    • A new autoregressive time series model in exponential variables (NEAR (1))
    • Lawrance, A. J. and Lewis, P. A. W. (1981). A new autoregressive time series model in exponential variables (NEAR (1)), Adv. Appl. Prob., 13, 826-845.
    • (1981) Adv. Appl. Prob. , vol.13 , pp. 826-845
    • Lawrance, A.J.1    Lewis, P.A.W.2
  • 118
    • 0002117811 scopus 로고
    • Minification processes and their transformations
    • Lewis, P. A. W. and McKenzie, E. (1991). Minification processes and their transformations. J. Appl. Prob., 28, 45-57.
    • (1991) J. Appl. Prob. , vol.28 , pp. 45-57
    • Lewis, P.A.W.1    McKenzie, E.2
  • 119
    • 84889807502 scopus 로고
    • A reversibility relation for two Markovian time series models with stationary exponential tailed distribution
    • Preprint
    • Littlejohn, R. P. (1993). A reversibility relation for two Markovian time series models with stationary exponential tailed distribution, J. Appl. Prob., (Preprint).
    • (1993) J. Appl. Prob.
    • Littlejohn, R.P.1
  • 120
    • 0001324423 scopus 로고    scopus 로고
    • A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
    • Marshall, A. W. and Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika, 84, 3, 641-652.
    • (1997) Biometrika , vol.84 , Issue.3 , pp. 641-652
    • Marshall, A.W.1    Olkin, I.2
  • 122
  • 123
    • 0347925963 scopus 로고
    • On geometrically infinitely divisible laws and geometric domains of attraction
    • Mohan, N. R., Vasudeva, R. and Hebbar, H. V. (1993). On geometrically infinitely divisible laws and geometric domains of attraction, Sankhya B. 55 A, 2, 171-179.
    • (1993) Sankhya B , vol.55 A , Issue.2 , pp. 171-179
    • Mohan, N.R.1    Vasudeva, R.2    Hebbar, H.V.3
  • 125
    • 0347535881 scopus 로고
    • Semi-stable laws as limit distributions
    • Pillai, R. N. (1971). Semi-stable laws as limit distributions, Ann. Math. Statist., 42, 2, 780-783.
    • (1971) Ann. Math. Statist. , vol.42 , Issue.2 , pp. 780-783
    • Pillai, R.N.1
  • 126
    • 0003191865 scopus 로고
    • Semi-α-Laplace distributions
    • Pillai, R. N. (1985). Semi-α-Laplace distributions, Commun. Statist.-Theor. Meth., 14(4), 991-1000.
    • (1985) Commun. Statist.-Theor. Meth. , vol.14 , Issue.4 , pp. 991-1000
    • Pillai, R.N.1
  • 127
    • 0000495328 scopus 로고
    • On Mittag-Leffler functions and related distributions
    • Pillai, R. N. (1990a). On Mittag-Leffler functions and related distributions, Ann. Inst. Statist. Math., 42, 1, 157-161.
    • (1990) Ann. Inst. Statist. Math. , vol.42 , Issue.1 , pp. 157-161
    • Pillai, R.N.1
  • 128
    • 3042599271 scopus 로고
    • Harmonic mixtures and geometric infinite divisibility
    • Pillai, R. N. (1990b). Harmonic mixtures and geometric infinite divisibility, J. Indian Statist. Assoc., 28, 87-98.
    • (1990) J. Indian Statist. Assoc. , vol.28 , pp. 87-98
    • Pillai, R.N.1
  • 129
    • 0010872478 scopus 로고
    • Semi-Pareto processes
    • Pillai, R. N. (1991). Semi-Pareto processes, J. Appl. Prob., 28, 461-465.
    • (1991) J. Appl. Prob. , vol.28 , pp. 461-465
    • Pillai, R.N.1
  • 130
    • 0011671091 scopus 로고
    • Distributions with complete monotone derivative and geometric infinite divisibility
    • Pillai, R. N. and Sandhya, E. (1990). Distributions with complete monotone derivative and geometric infinite divisibility, Adv. Appl. Prob., 22, 751-754.
    • (1990) Adv. Appl. Prob. , vol.22 , pp. 751-754
    • Pillai, R.N.1    Sandhya, E.2
  • 131
    • 0040114655 scopus 로고
    • Geometric stable distributions and Laplace-Weibull mixtures
    • Rachev, S. T. and Sen Gupta, A. (1992). Geometric stable distributions and Laplace-Weibull mixtures, Statistics and Decisions, 10, 251-271.
    • (1992) Statistics and Decisions , vol.10 , pp. 251-271
    • Rachev, S.T.1    Sen Gupta, A.2
  • 133
    • 0010573670 scopus 로고
    • Infinite divisibility in theory and practice
    • Steutel, F. W. (1979). Infinite divisibility in theory and practice, Scand. J. Statist., 6, 57-64.
    • (1979) Scand. J. Statist. , vol.6 , pp. 57-64
    • Steutel, F.W.1
  • 134
    • 0000234070 scopus 로고
    • Discrete analogues of self-decomposability and stability
    • Steutel, F. W. and Van Harn, K. (1979). Discrete analogues of self-decomposability and stability, Ann. Prob., 7, 893-899.
    • (1979) Ann. Prob. , vol.7 , pp. 893-899
    • Steutel, F.W.1    Van Harn, K.2
  • 135
    • 0000331601 scopus 로고
    • An exponential Markovian stationary process
    • Tavares, L. V. (1980). An exponential Markovian stationary process. J. Appl. Prob., 17, 1117-1120.
    • (1980) J. Appl. Prob. , vol.17 , pp. 1117-1120
    • Tavares, L.V.1
  • 140
    • 38249024117 scopus 로고
    • On random variate generation when only moments or Fourier coefficients are known
    • Devroye, L. (1989). On random variate generation when only moments or Fourier coefficients are known, Mathematics and Computers in Simulation, 31, 71-89.
    • (1989) Mathematics and Computers in Simulation , vol.31 , pp. 71-89
    • Devroye, L.1
  • 148
    • 0034343762 scopus 로고    scopus 로고
    • On the distribution of linear combinations of the components of a Dirichlet random vector
    • Provost, S. B. and Cheong, Y.-H. (2000). On the distribution of linear combinations of the components of a Dirichlet random vector, The Canadian Journal of Statistics, 28, 417-425.
    • (2000) The Canadian Journal of Statistics , vol.28 , pp. 417-425
    • Provost, S.B.1    Cheong, Y.-H.2
  • 150
    • 84972528712 scopus 로고
    • Saddlepoint methods and statistical inference
    • Reid, N. (1988). Saddlepoint methods and statistical inference, Statistical Science, 3, 213-227.
    • (1988) Statistical Science , vol.3 , pp. 213-227
    • Reid, N.1
  • 151
  • 152
    • 21844519694 scopus 로고
    • A recursive formulation of the old problem of obtaining moments from cumulants and vice versa
    • Smith, P. J. (1995). A recursive formulation of the old problem of obtaining moments from cumulants and vice versa, The American Statistician, 49, 217-219.
    • (1995) The American Statistician , vol.49 , pp. 217-219
    • Smith, P.J.1
  • 154
    • 0004073954 scopus 로고
    • American Mathematical Society, New York
    • Szegö, G. (1959). Orthogonal Polynomials, American Mathematical Society, New York.
    • (1959) Orthogonal Polynomials
    • Szegö, G.1
  • 155
    • 0034553254 scopus 로고    scopus 로고
    • Some distributions of induced record values
    • Ahsanullah, M. and Nevzorov, V. B. (2000). Some distributions of induced record values, Biometrical Journal, 42, 1069-1081.
    • (2000) Biometrical Journal , vol.42 , pp. 1069-1081
    • Ahsanullah, M.1    Nevzorov, V.B.2
  • 158
    • 0013315732 scopus 로고    scopus 로고
    • Concomitants of order statistics in Morgenstern type bivariate exponential distribution
    • Balasubramanian, K. and Beg, M. I. (1997). Concomitants of order statistics in Morgenstern type bivariate exponential distribution, Journal of Applied Statistical Science, 5, 233-245.
    • (1997) Journal of Applied Statistical Science , vol.5 , pp. 233-245
    • Balasubramanian, K.1    Beg, M.I.2
  • 159
    • 0017153841 scopus 로고
    • Concomitants and correlation estimates
    • Barnett, Y., Green, P. J. and Robinson, A. (1976). Concomitants and correlation estimates, Biometrika, 63, 323-328.
    • (1976) Biometrika , vol.63 , pp. 323-328
    • Barnett, Y.1    Green, P.J.2    Robinson, A.3
  • 160
    • 45849144348 scopus 로고    scopus 로고
    • Concomitants of order statistics from Marshall and Olkin's bivariate Weibull distribution
    • Begum, A. A. and Khan, A. H. (2000a). Concomitants of order statistics from Marshall and Olkin's bivariate Weibull distribution, Calcutta Statistical Association Bulletin, 50, 65-70.
    • (2000) Calcutta Statistical Association Bulletin , vol.50 , pp. 65-70
    • Begum, A.A.1    Khan, A.H.2
  • 162
    • 0001240320 scopus 로고
    • Convergence of sample paths of normalized sums of induced order statistics
    • Bhattacharya, P. K. (1974). Convergence of sample paths of normalized sums of induced order statistics, Annals of Statistics, 2, 1034-1039.
    • (1974) Annals of Statistics , vol.2 , pp. 1034-1039
    • Bhattacharya, P.K.1
  • 164
    • 79951934555 scopus 로고    scopus 로고
    • Estimation of a parameter of Morgenstern type bivariate uniform distribution based on concomitants of order statistics and concomitants of record values
    • Chacko, M. and Thomas, P. Y. (2004). Estimation of a parameter of Morgenstern type bivariate uniform distribution based on concomitants of order statistics and concomitants of record values, Journal of the Kerala Statistical Association, 15, 13-26.
    • (2004) Journal of the Kerala Statistical Association , vol.15 , pp. 13-26
    • Chacko, M.1    Thomas, P.Y.2
  • 165
    • 84889782670 scopus 로고    scopus 로고
    • Concomitants of record values arising from Morgenstern type bivariate logistic distribution and some of their applications in parameter estimation
    • to appear
    • Chacko, M. and Thomas, P. Y. (2005). Concomitants of record values arising from Morgenstern type bivariate logistic distribution and some of their applications in parameter estimation, Metrika (to appear).
    • (2005) Metrika
    • Chacko, M.1    Thomas, P.Y.2
  • 166
    • 4243340587 scopus 로고
    • Statistical methods for multivariate extremes: An application to structural design
    • Coles, S. G. and Tawn, A. J. (1994). Statistical methods for multivariate extremes: An application to structural design, Applied Statistics, 43, 1-48.
    • (1994) Applied Statistics , vol.43 , pp. 1-48
    • Coles, S.G.1    Tawn, A.J.2
  • 167
    • 0003707560 scopus 로고    scopus 로고
    • Second edition, Wiley, New York
    • David, H. A. (1981) : Order Statistics, Second edition, Wiley, New York.
    • (1981) Order Statistics
    • David, H.A.1
  • 169
    • 0008469148 scopus 로고
    • Inference problems in life testing under multivariate normality
    • Gill, P. S., Tiku, M. L. and Vaughan, D. C. (1990). Inference problems in life testing under multivariate normality, Journal of Applied Statistics, 17, 133-149.
    • (1990) Journal of Applied Statistics , vol.17 , pp. 133-149
    • Gill, P.S.1    Tiku, M.L.2    Vaughan, D.C.3
  • 170
    • 0018749196 scopus 로고
    • Statistical inference for censored bivariate normal distributions based on induced order statistics
    • Harrel, F. E. and Sen, P. K. (1979). Statistical inference for censored bivariate normal distributions based on induced order statistics, Biometrika, 66, 293-298.
    • (1979) Biometrika , vol.66 , pp. 293-298
    • Harrel, F.E.1    Sen, P.K.2
  • 171
    • 0039064012 scopus 로고
    • Ph. D. Dissertation, University of California, Riverside, California
    • Houchens, R. L. (1984). Record Value Theory and Inference, Ph. D. Dissertation, University of California, Riverside, California.
    • (1984) Record Value Theory and Inference
    • Houchens, R.L.1
  • 173
    • 0043131802 scopus 로고    scopus 로고
    • On concomitants of order statistics from Morgenstern family
    • Scaria, J. and Nair, N. U. (1999). On concomitants of order statistics from Morgenstern family, Biometrical Journal, 41, 483-489.
    • (1999) Biometrical Journal , vol.41 , pp. 483-489
    • Scaria, J.1    Nair, N.U.2
  • 175
    • 0000239077 scopus 로고
    • General distribution theory of the concomitants of order statistics
    • Yang, S. S. (1977). General distribution theory of the concomitants of order statistics, Annals of Statistics, 5, 996-1002.
    • (1977) Annals of Statistics , vol.5 , pp. 996-1002
    • Yang, S.S.1
  • 176
    • 0042105052 scopus 로고
    • Selection through an associated characteristic with application to the random effects model
    • Yeo, W. B. and David, H. A. (1984). Selection through an associated characteristic with application to the random effects model, Journal of American Statistical Association, 79, 399-405.
    • (1984) Journal of American Statistical Association , vol.79 , pp. 399-405
    • Yeo, W.B.1    David, H.A.2
  • 186
  • 189
    • 84889809018 scopus 로고
    • Entropie und Wahrscheinlichkeit, Verlag Harri Deutsch, Frankfurt am Main 2002
    • Boltzmann, L.: Entropie und Wahrscheinlichkeit (1872-1905). Ostwalds Klassiker der Exakten Wissenschaften, Band 286, Verlag Harri Deutsch, Frankfurt am Main 2002.
    • (1872) Ostwalds Klassiker der Exakten Wissenschaften , vol.286
    • Boltzmann, L.1
  • 190
    • 84889777393 scopus 로고    scopus 로고
    • Die Ableitung der Strahlungsgesetze 1895-1900 : Sieben Abhandlungen aus dem Gebiet der Elektrischen Strahlungstheorie, Verlag Harri Deutsch, Frankfurt am Main
    • Planck, M.: Die Ableitung der Strahlungsgesetze (1895-1900) : Sieben Abhandlungen aus dem Gebiet der Elektrischen Strahlungstheorie. Ostwalds Klassiker der Exakten Wissenschaften, Band 206, Verlag Harri Deutsch, Frankfurt am Main 2001.
    • (2001) Ostwalds Klassiker der Exakten Wissenschaften , vol.206
    • Planck, M.1
  • 193
    • 0010994550 scopus 로고
    • Boltzmann's probability distribution of 1877
    • Bach, A. (1990) : Boltzmann's probability distribution of 1877. Archive for History of Exact Sciences, 41(1), 1-40.
    • (1990) Archive for History of Exact Sciences , vol.41 , Issue.1 , pp. 1-40
    • Bach, A.1
  • 197
    • 3142676000 scopus 로고    scopus 로고
    • Boltzmann-Gibbs entropy versus Tsallis entropy: Recent contributions to resolving the argument of Einstein concerning "Neither Herr Boltzmann nor Herr Planck has given a definition of W"?
    • Haubold, H. J., Mathai, A. M., and Saxena, R. K. (2004) : Boltzmann-Gibbs entropy versus Tsallis entropy: Recent contributions to resolving the argument of Einstein concerning "Neither Herr Boltzmann nor Herr Planck has given a definition of W"? Astrophysics and Space Science, 290, 241-245.
    • (2004) Astrophysics and Space Science , vol.290 , pp. 241-245
    • Haubold, H.J.1    Mathai, A.M.2    Saxena, R.K.3
  • 198
    • 16844386674 scopus 로고    scopus 로고
    • A step beyond Tsallis and Renyi entropies
    • Masi, M. (2005) : A step beyond Tsallis and Renyi entropies. Physics Letters, A338, 217-224.
    • (2005) Physics Letters , vol.A338 , pp. 217-224
    • Masi, M.1
  • 203
    • 5244346721 scopus 로고
    • Energy production in stars
    • Bethe, H. A. (1973) : Energy production in stars. Science, 161, 541-547.
    • (1973) Science , vol.161 , pp. 541-547
    • Bethe, H.A.1
  • 204
    • 35949024439 scopus 로고
    • On stars, their evolution and their stability
    • Chandrasekhar, S. (1984) : On stars, their evolution and their stability. Reviews of Modern Physics, 56, 137-147.
    • (1984) Reviews of Modern Physics , vol.56 , pp. 137-147
    • Chandrasekhar, S.1
  • 205
    • 84889762565 scopus 로고
    • Solar nuclear energy generation and the chlorine solar neutrino experiment
    • American Institute of Physics, New York
    • Haubold, H. J. and Mathai, A. M. (1994) : Solar nuclear energy generation and the chlorine solar neutrino experiment. in Conference Proceedings No. 320: Basic Space Science, American Institute of Physics, New York, pp. 102-116.
    • (1994) Conference Proceedings No. 320: Basic Space Science , pp. 102-116
    • Haubold, H.J.1    Mathai, A.M.2
  • 206
    • 21844519136 scopus 로고
    • Solar structure in terms of Gauss' hypergeometric function
    • Haubold, H. J. and Mathai, A. M. (1995) : Solar structure in terms of Gauss' hypergeometric function. Astrophysics and Space Science, 228, 77-86.
    • (1995) Astrophysics and Space Science , vol.228 , pp. 77-86
    • Haubold, H.J.1    Mathai, A.M.2
  • 207
    • 0041108895 scopus 로고
    • Solar structure without computers
    • Clayton, D. D. (1986) : Solar structure without computers. American Journal of Physics, 54(4), 354-362.
    • (1986) American Journal of Physics , vol.54 , Issue.4 , pp. 354-362
    • Clayton, D.D.1
  • 208
    • 0141987742 scopus 로고    scopus 로고
    • A half-century with solar neutrinos
    • Davis Jr., R. (2003) : A half-century with solar neutrinos. Reviews of Modern Physics, 75, 985-994.
    • (2003) Reviews of Modern Physics , vol.75 , pp. 985-994
    • Davis Jr., R.1
  • 209
    • 0040742207 scopus 로고    scopus 로고
    • A review of measurements of the solar neutrino flux and their variation
    • Davis Jr., R. 1996: A review of measurements of the solar neutrino flux and their variation. Nuclear Physics, B48, 284-298.
    • (1996) Nuclear Physics , vol.B48 , pp. 284-298
    • Davis Jr., R.1
  • 210
    • 23044492552 scopus 로고    scopus 로고
    • The MSW effect and solar neutrinos
    • Milla Baldo Ceolin, Venezia, March 11-14, 2003, Instituto Veneto di Scienze, Lettere ed Arti, Campo Santo Stefano, edizionni papergraf
    • Smirnov, A. Yu. (2003) : The MSW effect and solar neutrinos. In Tenth International Workshop on Neutrino Telescopes, Proceedings, ed. Milla Baldo Ceolin, Venezia, March 11-14, 2003, Instituto Veneto di Scienze, Lettere ed Arti, Campo Santo Stefano, edizionni papergraf, pp. 23-43.
    • (2003) Tenth International Workshop on Neutrino Telescopes, Proceedings , pp. 23-43
    • Smirnov, A.Y.1
  • 211
    • 0038963806 scopus 로고
    • On the Fourier spectrum analysis of the solar neutrino capture rate
    • Haubold, H. J. and Gerth, E. (1990) : On the Fourier spectrum analysis of the solar neutrino capture rate. Solar Physics, 127, 347-356.
    • (1990) Solar Physics , vol.127 , pp. 347-356
    • Haubold, H.J.1    Gerth, E.2
  • 212
    • 0040600768 scopus 로고    scopus 로고
    • Wavelet analysis of the new solar neutrino capture rate data for the Homestake experiment
    • Haubold, H. J. (1998) : Wavelet analysis of the new solar neutrino capture rate data for the Homestake experiment. Astrophysics and Space Science, 258, 201-218.
    • (1998) Astrophysics and Space Science , vol.258 , pp. 201-218
    • Haubold, H.J.1
  • 213
    • 36849158411 scopus 로고
    • Is there as chronometer hidden deep in the Sun?
    • Dicke, R. H. (1978) : Is there as chronometer hidden deep in the Sun? Nature, 276, 676-680.
    • (1978) Nature , vol.276 , pp. 676-680
    • Dicke, R.H.1
  • 214
    • 33750925703 scopus 로고    scopus 로고
    • Mean variations of the solar activity cycles: Analytical representations
    • Kola Science Center, Russian Academy of Science 2004
    • Kononovich, E. V. (2004) : Mean variations of the solar activity cycles: analytical representations. In Proceedings XXVII Seminar on Physics of Auroral Phenomena, Apatity, Kola Science Center, Russian Academy of Science 2004, pp. 83-86.
    • (2004) Proceedings XXVII Seminar on Physics of Auroral Phenomena, Apatity , pp. 83-86
    • Kononovich, E.V.1
  • 215
    • 27344445733 scopus 로고    scopus 로고
    • Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere
    • Burlaga, L. F. and Vinas, A. F. (2005) : Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere. Physica, A356, 375-384.
    • (2005) Physica , vol.A356 , pp. 375-384
    • Burlaga, L.F.1    Vinas, A.F.2
  • 216
    • 0042284246 scopus 로고    scopus 로고
    • Analysis of data sets of stochastic systems
    • Siegert, S., Friedrich, R., and Peinke, J. (1998) : Analysis of data sets of stochastic systems. Physics Letters, A243, 275-280.
    • (1998) Physics Letters , vol.A243 , pp. 275-280
    • Siegert, S.1    Friedrich, R.2    Peinke, J.3
  • 223
    • 4043144342 scopus 로고    scopus 로고
    • Probability interpretation of the integral of fractional order
    • Stanislavsky, A. A. (2004) : Probability interpretation of the integral of fractional order. Theoretical and Mathematical Physics, 138, 418-431.
    • (2004) Theoretical and Mathematical Physics , vol.138 , pp. 418-431
    • Stanislavsky, A.A.1
  • 224
    • 20144375901 scopus 로고    scopus 로고
    • Boltzmann and Einstein: Statistics and dynamics - An unsolved problem
    • Cohen, E. G. D. (2005) : Boltzmann and Einstein: statistics and dynamics - an unsolved problem. Pramana Journal of Physics, 64, 635-643.
    • (2005) Pramana Journal of Physics , vol.64 , pp. 635-643
    • Cohen, E.G.D.1
  • 225
    • 54849355600 scopus 로고    scopus 로고
    • Nonextensive statistical mechanics: New trends, new perspectives
    • Boon, J. P. and Tsallis, C. (Eds.) (2005) : Nonextensive Statistical Mechanics: New Trends, New Perspectives. Europhysics News, 36, 183-231.
    • (2005) Europhysics News , vol.36 , pp. 183-231
    • Boon, J.P.1    Tsallis, C.2
  • 226
    • 3042789122 scopus 로고    scopus 로고
    • Dynamical scenario for nonextensive statistical mechanics
    • Tsallis, C. (2004) : Dynamical scenario for nonextensive statistical mechanics. Physica, A340, 1-10.
    • (2004) Physica , vol.A340 , pp. 1-10
    • Tsallis, C.1
  • 227
    • 6344253027 scopus 로고    scopus 로고
    • Astrophysical thermonuclear functions for Boltzmann-Gibbs and Tsallis statistics
    • Saxena, R. K., Mathai, A. M., and Haubold, H. J. (2004) : Astrophysical thermonuclear functions for Boltzmann-Gibbs and Tsallis statistics. Physica, A344, 649-656.
    • (2004) Physica , vol.A344 , pp. 649-656
    • Saxena, R.K.1    Mathai, A.M.2    Haubold, H.J.3
  • 230
    • 35949020852 scopus 로고
    • Experimental and theoretical nuclear astrophysics: The quest for the origin of the elements
    • Fowler, W. A. (1984) : Experimental and theoretical nuclear astrophysics: The quest for the origin of the elements. Reviews of Modern Physics, 56, 149-179.
    • (1984) Reviews of Modern Physics , vol.56 , pp. 149-179
    • Fowler, W.A.1
  • 231
    • 3142682503 scopus 로고
    • A heuristic remark on the periodic variation in the number of solar neutrinos detected on Earth
    • Haubold, H. J. and Mathai, A. M. (1995) : A heuristic remark on the periodic variation in the number of solar neutrinos detected on Earth. Astrophysics and Space Science, 228, 113-134.
    • (1995) Astrophysics and Space Science , vol.228 , pp. 113-134
    • Haubold, H.J.1    Mathai, A.M.2
  • 232
    • 84990739019 scopus 로고
    • The Maxwell-Boltzmannian approach to the nuclear reaction rate theory
    • Haubold, H. J. and Mathai, A. M. (1985) : The Maxwell-Boltzmannian approach to the nuclear reaction rate theory. Progress of Physics, 33, 623-644.
    • (1985) Progress of Physics , vol.33 , pp. 623-644
    • Haubold, H.J.1    Mathai, A.M.2
  • 234
    • 0034369959 scopus 로고    scopus 로고
    • The fractional kinetic equation and thermonuclear functions
    • Haubold, H. J. and Mathai, A. M. (2004) : The fractional kinetic equation and thermonuclear functions. Astrophysics and Space Science, 273, 53-63.
    • (2004) Astrophysics and Space Science , vol.273 , pp. 53-63
    • Haubold, H.J.1    Mathai, A.M.2
  • 235
    • 2642548104 scopus 로고    scopus 로고
    • What should a statistical mechanics satisfy to reflect nature?
    • Tsallis, C. (2004) : What should a statistical mechanics satisfy to reflect nature? Physica, D193, 3-34.
    • (2004) Physica , vol.D193 , pp. 3-34
    • Tsallis, C.1
  • 236
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • Metzler, R. and Klafter, J. (2000) : The Random Walk's Guide to Anomalous Diffusion: A Fractional Dynamics Approach. Physics Reports, 339, 1-77.
    • (2000) Physics Reports , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 237
    • 4043151477 scopus 로고    scopus 로고
    • The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics
    • Metzler, R. and Klafter, J. (2004) : The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics. Journal of Physics A: Math. Gen., 37, R161-R208.
    • (2004) Journal of Physics A: Math. Gen. , vol.37
    • Metzler, R.1    Klafter, J.2
  • 238
    • 6344261966 scopus 로고    scopus 로고
    • On generalized fractional kinetic equations
    • Saxena, R. K., Mathai, A. M., and Haubold, H. J. (2004) : On generalized fractional kinetic equations. Physica A, 344, 657-664.
    • (2004) Physica A , vol.344 , pp. 657-664
    • Saxena, R.K.1    Mathai, A.M.2    Haubold, H.J.3
  • 239
    • 3142703861 scopus 로고    scopus 로고
    • Unified fractional kinetic equation and a fractional diffusion equation
    • Saxena, R. K., Mathai, A. M., and Haubold, H. J. (2004) : Unified fractional kinetic equation and a fractional diffusion equation. Astrophysics and Space Science, 290, 299-310.
    • (2004) Astrophysics and Space Science , vol.290 , pp. 299-310
    • Saxena, R.K.1    Mathai, A.M.2    Haubold, H.J.3
  • 244
    • 41349112464 scopus 로고    scopus 로고
    • Systematic derivation of reaction-diffusion equations with distributed delays and relations to fractional reaction-diffusion equations and hyperbolic transport equations: Applications to the theory of Neolithic transition
    • Vlad, M. O. and Ross, J. (2002) : Systematic derivation of reaction-diffusion equations with distributed delays and relations to fractional reaction-diffusion equations and hyperbolic transport equations: Applications to the theory of Neolithic transition. Physical Review, E66, 061908-1-061908-11.
    • (2002) Physical Review , vol.E66 , pp. 0619081-06190811
    • Vlad, M.O.1    Ross, J.2
  • 246
    • 0343526808 scopus 로고    scopus 로고
    • Fractional reaction-diffusion
    • Henry, B. I. and Wearne, S. L. (2000) : Fractional reaction-diffusion. Physica A, 276, 448-455.
    • (2000) Physica A , vol.276 , pp. 448-455
    • Henry, B.I.1    Wearne, S.L.2
  • 247
    • 0043210605 scopus 로고    scopus 로고
    • Front dynamics in reactiondiffusion systems with Levy flights: A fractional diffusion approach
    • Del-Castillo-Negrete, D., Carreras, B. A., and Lynch, V. (2003) : Front dynamics in reactiondiffusion systems with Levy flights: A fractional diffusion approach. Physical Review Letters, 91, 018302-1-018302-4.
    • (2003) Physical Review Letters , vol.91 , pp. 0183021-0183024
    • Del-Castillo-Negrete, D.1    Carreras, B.A.2    Lynch, V.3
  • 248
    • 27244451499 scopus 로고    scopus 로고
    • Turing pattern formation in fractional activator-inhibitor systems
    • Henry, B. I., Langlands, T. A. M., and Wearne, S. L. (2005) : Turing pattern formation in fractional activator-inhibitor systems. Physical Review, E72, 026101-1-026101-14.
    • (2005) Physical Review , vol.E72 , pp. 0261011-02610114
    • Henry, B.I.1    Langlands, T.A.M.2    Wearne, S.L.3


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