A class of logarithmically completely monotonic functions related to the \(q\)-gamma function and applications

DOI10.1007/s11117-016-0431-3zbMath1365.33016arXiv1512.08548OpenAlexW3105502525MaRDI QIDQ2358784

Khaled Mehrez

Publication date: 16 June 2017

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08548

zbMATH Keywords

inequalitiesStirling's formula\(q\)-gamma functioncompletely monotonic functionslogarithmically completely monotonic 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 (3)

Logarithmically completely monotonic functions related to the \(q\)-gamma function and its applications ⋮ Unnamed Item ⋮ Monotonic functions related to the $q$-gamma and q-trigamma functions with applications

Cites Work

• The q-analogue of Stirling's formula
• Gurland's ratio for the gamma function
• Logarithmically completely monotonic functions relating to the gamma function
• A Remark on Stirling's Formula
• Unnamed Item
• Unnamed Item

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