Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions

DOI10.1016/j.amc.2015.07.044zbMath1410.33007OpenAlexW1137498165MaRDI QIDQ668656

Neven Elezović, Chao-Ping Chen

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.044

zbMATH Keywords

gamma functionasymptotic expansionpsi functioncompletely monotonic functionspolygamma functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Monotonic functions, generalizations (26A48)

Related Items (2)

Inequalities for the inverses of the polygamma functions ⋮ Asymptotic expansions and complete monotonicity properties for the Barnes \(G\)-function

Cites Work

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• Completely monotonic and related functions
• The special functions and their approximations. Vol. I, II
• Asymptotic expansions of the gamma function and Wallis function through polygamma functions
• Asymptotic formulae associated with the Wallis power function and digamma function
• Asymptotic expansions of the logarithm of the gamma function in the terms of the polygamma functions
• Complete monotonicity properties and asymptotic expansions of the logarithm of the gamma function
• Inequalities involving gamma and digamma functions

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