Some completely monotonic functions associated with the \(q\)-gamma and the \(q\)-polygamma functions

DOI10.1016/S0252-9602(15)30050-3zbMath1349.33014MaRDI QIDQ530678

Ahmed Salem, Eid S. Kamel

Publication date: 10 August 2016

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

inequalities\(q\)-gamma functioncompletely monotonic functions\(q\)-polygamma function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (6)

Monotonic functions related to the \(q\)-gamma function ⋮ Complete monotonicity for a new ratio of finitely many gamma functions ⋮ Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function ⋮ Completely monotonic functions related to the gamma and the \(q\)-gamma functions ⋮ 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

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