Nian Hong Zhou, Da-Wei Niu
Published 2021-04-05Version 1
In this paper we investigate the monotonicity properties related to the ratio of gamma functions, from which some related asymptotics and inequalities are established. Some special cases also confirm the conjectures of C.-P. Chen [Monotonicity properties, inequalities, and asymptotic expansions associated with the gamma function. Appl. Math. Comput. 283 (2016), 385--396.].
Comments: 10 pages, accepted for publication in Mediterranean Journal of Mathematics
Two asymptotic expansions for gamma function developed by Windschitl's formula
More accurate approximations for the Gamma function
Complete monotonicity of a function involving the gamma function and applications
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