BOUNDS FOR COMPLETELY MONOTONIC DEGREES OF REMAINDERS IN ASYMPTOTIC EXPANSIONS OF THE DIGAMMA FUNCTION

被引：2

作者：

Mahmoud, Mansour ^{[1
]}

Qi, Feng ^{[2
,3
]}

机构：

[1] Mansoura Univ, Math Dept, Fac Sci, Mansoura 35516, Egypt

[2] Henan Polytech Univ, Inst Math, Jiaozuo 454003, Henan, Peoples R China

[3] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2022年 / 25卷 / 01期

关键词：

and phrases; Completely monotonic degree; completely monotonic function; remainder; asymptotic expansion; logarithm of the gamma function; digamma function; Qi's conjecture; GAMMA-FUNCTION; STIRLING NUMBERS; IDENTITIES; FORMULAS; INEQUALITIES; POLYNOMIALS; BERNOULLI;

D O I：

10.7153/mia-2022-25-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by several conjectures posed in the paper "F. Qi and A.-Q. Liu, Completely monotonic degrees for a difference between the logarithmic and psi functions, J. Comput. Appl. Math. 361 (2019), 366-371; https://doi.org/10.1016/j.cam.2019.05.001", the authors bound several completely monotonic degrees of the remainders in the asymptotic expansions of the logarithm of the gamma function and in the asymptotic expansions of the logarithm of the digamma function.

引用

页码：291 / 293

页数：3

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