A complete monotonicity property of the gamma function

被引：144

作者：

Qi, F ^{[1
]}

Chen, CP ^{[1
]}

机构：

[1] Jiaozuo Inst Technol, Dept Appl Math & Informat, Henan 454000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 296卷 / 02期

基金：

美国国家科学基金会;

关键词：

gamma function; psi function; logarithmically completely monotonic function;

D O I：

10.1016/j.jmaa.2004.04.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A logarithmically completely monotonic function is completely monotonic. The function 1 - lnx +1/x ln Gamma(x + 1) is strictly completely monotonic on (0, infinity). The function (x)rootGamma(x+1)/x is strictly logarithmically completely monotonic on (0, infinity). (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：603 / 607

页数：5

共 50 条

[21] Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function [J].

Qi, Feng ;

Guo, Bai-Ni .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (02) :425-434

[22] Monotonicity and inequalities involving the incomplete gamma function [J].

Yang, Zhen-Hang ;

Zhang, Wen ;

Chu, Yu-Ming .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,

[23] MONOTONICITY AND SHARP INEQUALITIES RELATED TO GAMMA FUNCTION [J].

Yang, Zhen-Hang ;

Tian, Jingfeng .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (01) :1-22

[24] Logarithmically Complete Monotonicity of Certain Ratios Involving the k-Gamma Function [J].

Nantomah, Kwara ;

Yin, Li .

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (04) :559-565

[25] Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function [J].

Feng Qi ;

Bai-Ni Guo .

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017, 111 :425-434

[26] Monotonicity and inequalities involving the incomplete gamma function [J].

Zhen-Hang Yang ;

Wen Zhang ;

Yu-Ming Chu .

Journal of Inequalities and Applications, 2016

[27] Monotonicity and inequalities for the gamma function [J].

Zhen-Hang Yang ;

Jing-Feng Tian .

Journal of Inequalities and Applications, 2017

[28] Monotonicity and inequalities for the gamma function [J].

Yang, Zhen-Hang ;

Tian, Jing-Feng .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,

[29] MONOTONICITY PROPERTIES RELATED TO SOME GAMMA FUNCTION ESTIMATES [J].

Mortici, Cristinel ;

Dumitrescu, Sorinel ;

Hu, Yue .

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (01) :195-204

[30] Inequalities and monotonicity properties for the gamma function [J].

Giordano, C ;

Laforgia, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 133 (1-2) :387-396

← 1 2 3 4 5 →