Turán type inequalities for \(q\)-hypergeometric functions

DOI10.1016/J.JAT.2013.01.002zbMath1281.33005OpenAlexW61520721MaRDI QIDQ1949156

Anbhu Swaminathan, Árpád Baricz, Kondooru Raghavendar

Publication date: 25 April 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.01.002

zbMATH Keywords

basic hypergeometric functionsarithmetic meangeometric meanGauss hypergeometric functionsTurán-type inequalities\(q\)-Kummer confluent hypergeometric functionsKummer hypergeometric functions

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (6)

Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions ⋮ Inequalities for series in \(q\)-shifted factorials and \(q\)-gamma functions ⋮ Turán‐type inequalities for the supertrigonometric functions ⋮ Turań-type inequalities for two hypergeometric supertrigonometric functions associated with Kummer confluent hypergeometric series of first type ⋮ Inequalities for some basic hypergeometric functions ⋮ Mapping properties of basic hypergeometric functions

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• DLMF

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