Monotonicity properties related to the ratio of two gamma functions

2021/04/05 by Zhou, Nian Hong, Niu, Da-Wei
#26A48 #26D15 #41A60 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #Primary: 33B15 #Secondary: 11B68

paper · doi:10.48550/arxiv.2104.01880

Abstract

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.].

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