Log-concavity and Turán-type inequalities for the generalized hypergeometric function

DOI10.1007/s10476-017-0503-zzbMath1399.33012arXiv1611.06724OpenAlexW2550596697MaRDI QIDQ682156

Dmitriĭ Borisovich Karp, Sergeĭ Ivanovich Kalmykov

Publication date: 13 February 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06724

zbMATH Keywords

integral representationgeneralized hypergeometric functionlog-convexitylog-concavityextended Laguerre inequalitygeneralized Turánian inequalityMeijer's \(G\) function

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Convexity of real functions in one variable, generalizations (26A51)

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Uses Software

• DLMF

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