Some monotonicity properties of gamma and \(q\)-gamma functions

DOI10.5402/2011/375715zbMath1216.33006arXiv0709.1126OpenAlexW1983070778WikidataQ58689293 ScholiaQ58689293MaRDI QIDQ541782

Peng Gao

Publication date: 8 June 2011

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.1126

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (17)

A class of completely monotonic functions involving the polygamma functions ⋮ Complete monotonicity of some functions involving polygamma functions ⋮ \(q\)-extensions of some estimates associated with the digamma function ⋮ Complete monotonicity involving the divided difference of polygamma functions ⋮ INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS ⋮ A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions ⋮ Sharp lower and upper bounds for the q-gamma function ⋮ Lower bound of sectional curvature of Fisher-Rao manifold of beta distributions and complete monotonicity of functions involving polygamma functions ⋮ Monotonicity properties of \(q\)-digamma and \(q\)-trigamma functions ⋮ Completely monotonic ratios of basic and ordinary gamma functions ⋮ New properties of the divided difference of psi and polygamma functions ⋮ Complete Monotonicity property for two functions related to the q-digamma function ⋮ Logarithmically complete monotonicity of ratios of \(q\)-gamma functions ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ Some completely monotonic functions involving the polygamma functions ⋮ Decreasing properties of two ratios defined by three and four polygamma functions ⋮ On the functional equations of the \(q\)-gamma function

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