Some completely monotonic functions relating to the gamma function

DOI10.1080/10652469.2011.597751zbMath1254.30048OpenAlexW2136385373MaRDI QIDQ3166769

Cristinel Mortici

Publication date: 15 October 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.597751

zbMATH Keywords

gamma functionrate of convergencepolygamma functionsfactorial functiondigamma functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Rate of convergence, degree of approximation (41A25) Inequalities involving other types of functions (26D07) Asymptotic representations in the complex plane (30E15) Approximations in PL-topology (57Q55)

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Completely monotonic functions related to the gamma and the \(q\)-gamma functions ⋮ A continued product approximation for the gamma function

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