Completely monotonic functions related to the gamma and the \(q\)-gamma functions

DOI10.1007/s13398-016-0293-3zbMath1354.33001OpenAlexW2320682263MaRDI QIDQ506282

Ahmed Salem

Publication date: 31 January 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0293-3

zbMATH Keywords

gamma functioninequalitieshyperbolic functions\(q\)-gamma functioncompletely monotonic function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities involving other types of functions (26D07)

Related Items (4)

Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function ⋮ Sharp lower and upper bounds for 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

Cites Work

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