Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions

被引：8

作者：

Xu, Ai-Min ^{[1
]}

Cen, Zhong-Di ^{[1
]}

机构：

[1] Zhejiang Wanli Univ, Inst Math, Ningbo, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Complete monotonicity; Completely monotonic degree; Digamma function; Trigamma function; Asymptotic formula; GAMMA-FUNCTION; INTEGRAL-REPRESENTATIONS; INEQUALITIES;

D O I：

10.1186/s13660-020-02345-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several conjectures posed by Qi on completely monotonic degrees of remainders for the asymptotic formulas of the digamma and trigamma functions are proved.

引用

页数：10

共 5 条

[1] Qi’s conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions
Ai-Min Xu
Zhong-Di Cen
Journal of Inequalities and Applications, 2020
[2] BOUNDS FOR COMPLETELY MONOTONIC DEGREES OF REMAINDERS IN ASYMPTOTIC EXPANSIONS OF THE DIGAMMA FUNCTION
Mahmoud, Mansour
Qi, Feng
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, 25 (01): : 291 - 293
[3] PROPERTIES OF MODIFIED BESSEL FUNCTIONS AND COMPLETELY MONOTONIC DEGREES OF DIFFERENCES BETWEEN EXPONENTIAL AND TRIGAMMA FUNCTIONS
Qi, Feng
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 493 - 518
[4] COMPLETELY MONOTONIC FUNCTIONS INVOLVING DIVIDED DIFFERENCES OF THE DI- AND TRI-GAMMA FUNCTIONS AND SOME APPLICATIONS
Qi, Feng
Guo, Bai-Ni
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (06) : 1975 - 1989
[5] Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
Koumandos, Stamatis
Pedersen, Henrik L.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (01) : 33 - 40

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