Monotonic functions related to the \(q\)-gamma function

DOI10.1007/s00605-015-0832-6zbMath1334.26020OpenAlexW2478913202MaRDI QIDQ2634825

Ahmed Salem

Publication date: 19 February 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0832-6

zbMATH Keywords

monotonicityinequalities\(q\)-gamma function\(q\)-polygamma functions

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (8)

A harmonic mean inequality for 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 ⋮ 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 ⋮ Functional inequalities for the \(q\)-digamma function ⋮ Best bounds for the Lambert W functions

Cites Work

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• A monotoneity property of the gamma function
• On some properties of the Gamma function
• Complete monotonicity properties of functions involving q-gamma and q-digamma functions
• Completely monotonic functions related to the q-gamma and the q-trigamma functions

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