Completely monotonic functions involving the gamma and q-gamma functions

    Authors

    A. Z. Grinshpan;M. E. H. Ismail

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Proc. Amer. Math. Soc.

    Keywords

    Gamma function; q-gamma function; completely monotonic functions; inequalities; HARMONIC MEAN INEQUALITY; Mathematics, Applied; Mathematics

    Abstract

    We give an infinite family of functions involving the gamma function whose logarithmic derivatives are completely monotonic. Each such function gives rise to an infinitely divisible probability distribution. Other similar results are also obtained for specific combinations of the gamma and q-gamma functions.

    Journal Title

    Proceedings of the American Mathematical Society

    Volume

    134

    Issue/Number

    4

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    1153

    Last Page

    1160

    WOS Identifier

    WOS:000236100700029

    ISSN

    0002-9939

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