A generalization of Bohr-Mollerup's theorem for higher order convex function

DOI10.1007/978-3-030-95088-0zbMath1500.26001arXiv2009.14742OpenAlexW4285080934MaRDI QIDQ2669996

Naïm Zenaïdi, Jean-Luc Marichal

Publication date: 9 March 2022

Published in: Developments in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14742

zbMATH Keywords

asymptotic conditionclassical difference equationKrull-Webster's resultmultiple \(\log \Gamma\)-type function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02) Research exposition (monographs, survey articles) pertaining to real functions (26-02)

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Remarks on the functional equation \(f(x+1) = g(x)f(x)\) and a uniqueness theorem for the gamma function ⋮ A generalization of Bohr-Mollerup's theorem for higher order convex functions: a tutorial

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