Inequalities for some basic hypergeometric functions
Journal Title: Проблемы анализа-Issues of Analysis - Year 2019, Vol 8, Issue 1
Abstract
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 concavity and convexity with respect to the bottom parameter. We, further, establish a linearization identity for the generalized Turánian formed by a particular case of Heine’s basic hypergeometric function. Its q = 1 case also appears to be new.
Authors and Affiliations
S. Kalmykov, D. Karp
Keywords
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- EP ID EP493226
- DOI 10.15393/j3.art.2019.5210
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