A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder
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Publication:5221359
DOI10.1090/proc/14917zbMath1435.41034OpenAlexW3002256940MaRDI QIDQ5221359
Zhen-Hang Yang, Jing-Feng Tian, Ming-Hu Ha
Publication date: 25 March 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/14917
Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48)
Related Items (10)
Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ An application of theory of distributions to the family of \(\lambda \)-generalized gamma function ⋮ Absolute monotonicity involving the complete elliptic integrals of the first kind with applications ⋮ Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function ⋮ New Mitrinović-Adamović type inequalities ⋮ Monotonicities of some functions involving multiple logarithm function and their applications ⋮ Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders ⋮ Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic ⋮ Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions ⋮ New properties of the divided difference of psi and polygamma functions
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Cites Work
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