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Volumn 12, Issue 4, 2001, Pages 389-402

Completely monotonic functions

Author keywords

Completely monotonic functions; Infinitely divisible probability distributions; Integral transforms

Indexed keywords


EID: 0346251626     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652460108819360     Document Type: Article
Times cited : (291)

References (18)
  • 3
    • 0348197738 scopus 로고
    • The Student t-distribution of any degrees of freedom is infinitely divisible
    • E. Grosswald, The Student t-distribution of any degrees of freedom is infinitely divisible, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 36 (1976), 103-109.
    • (1976) Z. Wahrscheinlichkeitstheorie und Verw. Gebiete , vol.36 , pp. 103-109
    • Grosswald, E.1
  • 4
    • 0346937063 scopus 로고
    • Bessel functions and the infinite divisibility of the Student t-distribution
    • M.E.H. Ismail, Bessel functions and the infinite divisibility of the Student t-distribution, Ann. Probab., 5 (1977), 582-585.
    • (1977) Ann. Probab. , vol.5 , pp. 582-585
    • Ismail, M.E.H.1
  • 5
    • 84971844629 scopus 로고
    • Special functions, Stieltjes transforms and infinite divisibility
    • M.E.H. Ismail and C.P. May, Special functions, Stieltjes transforms and infinite divisibility. Math. Proc. Cambr. Phil. Soc., 85 (1979), 453-464.
    • (1979) Math. Proc. Cambr. Phil. Soc. , vol.85 , pp. 453-464
    • Ismail, M.E.H.1    May, C.P.2
  • 6
    • 84966208808 scopus 로고
    • An infinitely divisible distribution involving modified Bessel functions
    • M.E.H. Ismail and K.S. Miller, An infinitely divisible distribution involving modified Bessel functions, Proc. Amer. Math. Soc., 85 (1982), 233-238.
    • (1982) Proc. Amer. Math. Soc. , vol.85 , pp. 233-238
    • Ismail, M.E.H.1    Miller, K.S.2
  • 7
    • 0030315146 scopus 로고    scopus 로고
    • On Mittag-Leffler type function, fractional calculus operatort and solutions of integral equations
    • A.A. Kilbas and M. Saigo, On Mittag-Leffler type function, fractional calculus operatort and solutions of integral equations, Integr. Transf. Spec. Funct., 4 (1996), 355-370.
    • (1996) Integr. Transf. Spec. Funct. , vol.4 , pp. 355-370
    • Kilbas, A.A.1    Saigo, M.2
  • 8
    • 84974054595 scopus 로고
    • Some integral equations involving hypergeometric functions
    • E.R. Love, Some integral equations involving hypergeometric functions, Proc. Edinburgh Math. Soc., 15 (1967), 169-198.
    • (1967) Proc. Edinburgh Math. Soc. , vol.15 , pp. 169-198
    • Love, E.R.1
  • 11
    • 0346544234 scopus 로고    scopus 로고
    • A note on the complete monotonicity of the generalized Mittag-Leffler function
    • K.S. Miller and S.G. Samko, A note on the complete monotonicity of the generalized Mittag-Leffler function, Real Anal. Exchange, 23 (1997), 753-755.
    • (1997) Real Anal. Exchange , vol.23 , pp. 753-755
    • Miller, K.S.1    Samko, S.G.2
  • 12
  • 13
    • 84878140835 scopus 로고    scopus 로고
    • On Mittag-Leffler type function and applications
    • M. Saigo and A.A. Kilbas, On Mittag-Leffler type function and applications, Integr. Transf. Spec. Funct., 7 (1998), 97-112.
    • (1998) Integr. Transf. Spec. Funct. , vol.7 , pp. 97-112
    • Saigo, M.1    Kilbas, A.A.2
  • 15
    • 2942742981 scopus 로고
    • Fractional Integrals and Derivatives and some of their Applications
    • Minsk, (in Russian)
    • S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives. Theory and Applications, Gordon and Breach Sci. Publ., 1993; Fractional Integrals and Derivatives and some of their Applications, Nauka i Tekhnika, Minsk, 1987 (in Russian).
    • (1987) Nauka i Tekhnika
  • 16
    • 0345725424 scopus 로고    scopus 로고
    • Completely monotone generalized Mittag-Leffler functions
    • W.R. Schneider, Completely monotone generalized Mittag-Leffler functions, Expo. Math., 14 (1996), 3-16.
    • (1996) Expo. Math. , vol.14 , pp. 3-16
    • Schneider, W.R.1
  • 18
    • 0003544101 scopus 로고    scopus 로고
    • Handbook of Function and Generalized Function Transformations
    • CRC Press, Inc.
    • Ahmed I. Zayed, Handbook of Function and Generalized Function Transformations, CRC Press, Inc., "Mathematical Sciences Reference Series", 1996.
    • (1996) Mathematical Sciences Reference Series
    • Zayed, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.