Inequalities for series in \(q\)-shifted factorials and \(q\)-gamma functions

DOI10.1016/j.jmaa.2017.11.041zbMath1380.33001arXiv1702.03788OpenAlexW2603745271MaRDI QIDQ1688840

Sergeĭ Ivanovich Kalmykov, Dmitriĭ Borisovich Karp

Publication date: 11 January 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03788

zbMATH Keywords

log-convexitylog-concavity\(q\)-gamma functionbasic hypergeometric function\(q\)-hypergeometric identitygeneralized Turánian

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities involving other types of functions (26D07)

Related Items (3)

The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13--19, 2022 ⋮ Inequalities for some basic hypergeometric functions ⋮ Log-concavity results for a biparametric and an elliptic extension of the q-binomial coefficients

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