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Volumn 2012, Issue , 2012, Pages

Some properties of the Mittag-Leffler functions and their relation with the wright functions

Author keywords

Mittag Leffler functions; the Wright functions

Indexed keywords


EID: 84873358341     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1186/1687-1847-2012-181     Document Type: Article
Times cited : (27)

References (19)
  • 2
    • 0001799540 scopus 로고
    • Über den fundamental Satz in der Theorie der Funktionen
    • 1555014 JFM 36.0471.01 10.1007/BF02403202
    • Wiman A: Über den fundamental Satz in der Theorie der Funktionen. Acta Math. 1905, 29:191-201.
    • (1905) Acta Math , vol.29 , pp. 191-201
    • Wiman, A.1
  • 4
    • 0842337110 scopus 로고
    • A singular integral equation with a generalized Mittag-Leffler function in the kernel
    • 293349 0221.45003
    • Prabhakar TR: A singular integral equation with a generalized Mittag-Leffler function in the kernel. Yokohama Math. J. 1971, 19:7-15.
    • (1971) Yokohama Math. J , vol.19 , pp. 7-15
    • Prabhakar, T.R.1
  • 6
    • 34247580117 scopus 로고    scopus 로고
    • Some properties of the Mittag-Leffer functions
    • 2326071 1118.33011 10.1080/10652460601090216
    • Gupta IS, Debnath L: Some properties of the Mittag-Leffer functions. Integral Transforms Spec. Funct. 2007,18(5):329-336.
    • (2007) Integral Transforms Spec. Funct , vol.18 , Issue.5 , pp. 329-336
    • Gupta, I.S.1    Debnath, L.2
  • 7
    • 77953359279 scopus 로고    scopus 로고
    • A note on property of the Mittag-Leffler function
    • 2651683 1194.30002 10.1016/j.jmaa.2010.04.031
    • Peng J, Li K: A note on property of the Mittag-Leffler function. J. Math. Anal. Appl. 2010,370(2):635-638.
    • (2010) J. Math. Anal. Appl , vol.370 , Issue.2 , pp. 635-638
    • Peng, J.1    Li, K.2
  • 8
    • 84963017682 scopus 로고
    • On the coefficients of power series having exponential singularities
    • 10.1112/jlms/s1-8.1.71
    • Wright EM: On the coefficients of power series having exponential singularities. J. Lond. Math. Soc. 1933, 8:71-79.
    • (1933) J. Lond. Math. Soc , vol.8 , pp. 71-79
    • Wright, E.M.1
  • 9
    • 84963107692 scopus 로고
    • The asymptotic expansion of the generalized Bessel function
    • 10.1112/plms/s2-38.1.257
    • Wright EM: The asymptotic expansion of the generalized Bessel function. Proc. Lond. Math. Soc. 1935, 38:257-270.
    • (1935) Proc. Lond. Math. Soc , vol.38 , pp. 257-270
    • Wright, E.M.1
  • 10
    • 84963044459 scopus 로고
    • The asymptotic expansion of the generalized hypergeometric function
    • 10.1112/jlms/s1-10.1.94
    • Wright EM: The asymptotic expansion of the generalized hypergeometric function. J. Lond. Math. Soc. 1935, 10:287-293.
    • (1935) J. Lond. Math. Soc , vol.10 , pp. 287-293
    • Wright, E.M.1
  • 11
    • 0012719785 scopus 로고
    • The generalized Bessel function of order greater than one
    • 10.1093/qmath/os-11.1.36
    • Wright EM: The generalized Bessel function of order greater than one. Q. J. Math., Oxford Ser. 1940, 11:36-48.
    • (1940) Q. J. Math., Oxford ser , vol.11 , pp. 36-48
    • Wright, E.M.1
  • 13
    • 78650789902 scopus 로고    scopus 로고
    • The M-Wright function in time-fractional diffusion processes: A tutorial survey
    • doi:10.1155/2010/104505
    • Mainardi F, Mura A, Pagnini G: The M -Wright function in time-fractional diffusion processes: a tutorial survey. Int. J. Differ. Equ. 2010. doi:10.1155/2010/104505
    • (2010) Int. J. Differ. Equ
    • Mainardi, F.1    Mura, A.2    Pagnini, G.3
  • 14
    • 67649154697 scopus 로고    scopus 로고
    • Time-fractional derivatives in relaxation processes: A tutorial survey
    • 2382782 1157.26304
    • Mainardi F, Gorenflo R: Time-fractional derivatives in relaxation processes: a tutorial survey. Fract. Calc. Appl. Anal. 2007, 10:269-308.
    • (2007) Fract. Calc. Appl. Anal , vol.10 , pp. 269-308
    • Mainardi, F.1    Gorenflo, R.2
  • 15
    • 2942532686 scopus 로고    scopus 로고
    • Damping characteristics of a fractional oscillator
    • 2091376 10.1016/j.physa.2004.03.030
    • Achar BNN, Hanneken JW, Clarke T: Damping characteristics of a fractional oscillator. Physica A 2004, 339:311-319.
    • (2004) Physica A , vol.339 , pp. 311-319
    • Achar, B.N.N.1    Hanneken, J.W.2    Clarke, T.3
  • 17
    • 76449114769 scopus 로고    scopus 로고
    • The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
    • 2595962 1189.33034 10.1016/j.camwa.2009.08.025
    • Kiryakova V: The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus. Comput. Math. Appl. 2010, 59:1885-1895.
    • (2010) Comput. Math. Appl , vol.59 , pp. 1885-1895
    • Kiryakova, V.1
  • 18
    • 64449085065 scopus 로고    scopus 로고
    • Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
    • 2517679 05562749 10.1016/j.amc.2009.01.055
    • Srivastava HM, Tomovski Ž: Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel. Appl. Math. Comput. 2009, 211:198-210.
    • (2009) Appl. Math. Comput , vol.211 , pp. 198-210
    • Srivastava, H.M.1    Tomovski, Ž.2
  • 19
    • 80052654574 scopus 로고    scopus 로고
    • Mittag-Leffler functions and their applications
    • 2011 Article ID 298628. doi:10.1155/2011/298628
    • Haubold HJ, Mathaiand AM, Saxena RK: Mittag-Leffler functions and their applications. J. Appl. Math. 2011., 2011: Article ID 298628. doi:10.1155/2011/298628
    • (2011) J. Appl. Math
    • Haubold, H.J.1    Mathaiand, A.M.2    Saxena, R.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.