Monotonic functions related to the $q$-gamma and q-trigamma functions with applications

DOI10.7153/jca-10-14zbMath1424.33030OpenAlexW2619498160MaRDI QIDQ4627838

Khaled Mehrez

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-10-14

zbMATH Keywords

inequalities\(q\)-gamma functioncompletely monotonic functions\(q\)-trigamma 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)

Cites Work

• A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions
• The q-analogue of Stirling's formula
• A probabilistic interpretation of complete monotonicity
• A class of logarithmically completely monotonic functions related to the \(q\)-gamma function and applications
• Bernstein functions. Theory and applications

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