Inequalities for some basic hypergeometric functions

We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric functions with respect to the simultaneous shift of all its parameters. For a particular case of Heine’s basic hypergeometric function, we prove logarithmic c...

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Bibliographic Details
Main Authors: Kalmykov S. I., Karp D. B.
Format: Article
Language:English
Published: Petrozavodsk State University 2019-01-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5210&lang=ru