Sharp lower and upper bounds for the q-gamma function

DOI10.7153/mia-2020-23-69zbMath1453.33011OpenAlexW3046535955MaRDI QIDQ5139878

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Publication date: 11 December 2020

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

Full work available at URL: https://doi.org/10.7153/mia-2020-23-69

zbMATH Keywords

inequalities\(q\)-gamma functionmonotonic function\(q\)-digamma function

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 (5)

A harmonic mean inequality for the \(q\)-gamma function ⋮ Inequalities for Taylor series involving the divisor 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

• Unnamed Item
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• Improvements of bounds for the q-gamma and the $q$-polygamma functions

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