Asymptotic expansions and inequalities relating to the gamma function

DOI10.2298/AADM200710034COpenAlexW4312280945MaRDI QIDQ5054092

Cristinel Mortici, Chao-Ping Chen

Publication date: 29 November 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm200710034c

zbMATH Keywords

gamma functionasymptotic expansioninequalityBernoulli numbers

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15)

Cites Work

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• Estimates of the function and quotient by Minc-Sathre
• Some monotonicity properties of convex functions with applications
• Application of Faà di Bruno's formula in characterization of inverse relations
• Remarks on some completely monotonic functions
• Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
• Multiplicative convexity and its applications
• A short proof of Minc's conjecture
• On an inequality of H. Minc and L. Sathre
• On some inequalities involving \((n!)^{1/n}\). II
• Refinement of an inequality of G. Bennett
• On some inequalities involving \((n!)^{1/n}\)
• Sharp inequalities involving \((n!)^{1/n}\)
• On an inequality of Alzer
• On Alzer's inequality and its generalized forms
• Asymptotic formulae associated with the Wallis power function and digamma function
• On Van de Lune - Alzer's inequality
• Arithmetic and Geometric Means, an Application to Lorentz Sequence Spaces
• Monotonicity of sequences involving convex and concave functions
• Permanents
• On some inequalities for the gamma and psi functions
• Upper bounds for permanents of $\left( {0,\,1} \right)$-matrices
• Some Inequalities involving (r!)^1/r

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