Monotonicity of functions connected with the gamma function and the volume of the unit ball

DOI10.1080/10652469.2011.627511zbMath1253.33002arXiv1001.1496OpenAlexW3103046732MaRDI QIDQ3166790

Bai-Ni Guo, Feng Qi

Publication date: 15 October 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1496

zbMATH Keywords

monotonic function gamma function volume unit ball Descartes' sign rule

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48)

Related Items (7)

Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric \(k\)-function ⋮ On approximating the arc lemniscate functions ⋮ Sharp bounds for the lemniscatic mean by the weighted Hölder mean ⋮ A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ Monotonicity and convexity involving generalized elliptic integral of the first kind ⋮ Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem ⋮ On the convexity and concavity of generalized complete elliptic integral of the first kind

Cites Work

• An extension of an inequality for ratios of gamma functions
• Inequalities for means
• Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
• A monotoneity property of the gamma function

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