Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function

DOI10.1016/j.amc.2015.03.020zbMath1390.26031OpenAlexW2093190437MaRDI QIDQ1636904

Chao-Ping Chen

Publication date: 7 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.020

zbMATH Keywords

gamma functionasymptotic expansioninequalitycompletely monotonic functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Monotonic functions, generalizations (26A48) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Related Items (5)

Series representations of the remainders in the expansions for certain functions with applications ⋮ Some properties of the remainders in certain series representations for the constant \(\pi\) ⋮ Unnamed Item ⋮ A comparison theorem for two divided differences and applications to special functions ⋮ Monotonicity properties related to the ratio of two gamma functions

Cites Work

• Completely monotonic functions and inequalities associated to some ratio of gamma function
• An asymptotic approximation of Wallis' sequence
• New approximation formulas for evaluating the ratio of gamma functions
• Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function
• Completely monotonic and related functions
• The special functions and their approximations. Vol. I, II
• Remarks on a paper by Chao-Ping Chen and Feng Qi
• The best bounds in Wallis’ inequality
• What is the Laplace Transform?
• Unnamed Item
• Unnamed Item

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