Completely monotonic ratios of basic and ordinary gamma functions

DOI10.1007/s00010-020-00767-6zbMath1477.33001arXiv2004.14075OpenAlexW3119329973MaRDI QIDQ2029462

Publication date: 3 June 2021

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14075

zbMATH Keywords

digamma function $q$-gamma function completely monotonic function Bernstein function Sherman's theorem logarithmic complete monotonicity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (3)

Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution ⋮ Monotonicity, convexity, and inequalities for functions involving gamma function ⋮ Remark on a Mittag–Leffler function of Le Roy type

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