Complete monotonicity properties of functions involving q-gamma and q-digamma functions

DOI10.7153/mia-17-58zbMath1295.33018OpenAlexW2333085193MaRDI QIDQ5170061

Ahmed Salem

Publication date: 18 July 2014

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-17-58

zbMATH Keywords

dilogarithm functioncompletely monotonic function\(q\)-harmonic number\(q\)-Stirling formula\(q\)-gamma and \(q\)-polygamma functions

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities involving other types of functions (26D07)

Related Items (10)

Logarithmically completely monotonic functions related to the \(q\)-gamma function and its applications ⋮ Monotonic functions related to the \(q\)-gamma function ⋮ Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function ⋮ Sharp lower and upper bounds for the q-gamma function ⋮ Completely monotonic functions related to the gamma and the \(q\)-gamma functions ⋮ Monotonicity properties of \(q\)-digamma and \(q\)-trigamma functions ⋮ An infinite class of completely monotonic functions involving the \(q\)-gamma function ⋮ Complete Monotonicity property for two functions related to the q-digamma function ⋮ Sharp bounds for a ratio of the \(q\)-gamma function in terms of the \(q\)-digamma function ⋮ New fractional estimates of Simpson-Mercer type for twice differentiable mappings pertaining to Mittag-Leffler kernel

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