A complete monotonicity property of the gamma function

被引：138
|
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
收藏
页码：603 / 607
页数：5
相关论文
共 50 条
  • [1] A complete monotonicity property of the multiple gamma function
    Das, Sourav
    [J]. COMPTES RENDUS MATHEMATIQUE, 2020, 358 (08) : 917 - 922
  • [2] REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION
    Qi, F.
    Guo, B. N.
    [J]. PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2015, 4 (01): : 66 - 72
  • [3] Complete monotonicity of a function involving the gamma function and applications
    Qi, Feng
    Luo, Qiu-Ming
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2014, 69 (02) : 159 - 169
  • [4] Complete monotonicity of a function involving the gamma function and applications
    Feng Qi
    Qiu-Ming Luo
    [J]. Periodica Mathematica Hungarica, 2014, 69 : 159 - 169
  • [5] A monotonicity property of Euler's gamma function
    Adell, Jose A.
    Alzer, Horst
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2011, 78 (02): : 443 - 448
  • [6] Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function
    Zhen-Hang Yang
    Jing-Feng Tian
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 3603 - 3617
  • [7] Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function
    Yang, Zhen-Hang
    Tian, Jing-Feng
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) : 3603 - 3617
  • [8] Logarithmically Complete Monotonicity Properties Relating to the Gamma Function
    Zhao, Tie-Hong
    Chu, Yu-Ming
    Wang, Hua
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [9] LOGARITHMICALLY COMPLETE MONOTONICITY PROPERTIES AND CHARACTERIZATIONS OF THE GAMMA FUNCTION
    Li, Ai-Jun
    Chen, Chao-Ping
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2007, 38 (04): : 313 - 322
  • [10] COMPLETE MONOTONICITY PROPERTIES AND ASYMPTOTIC EXPANSIONS OF THE LOGARITHM OF THE GAMMA FUNCTION
    Chen, Chao-Ping
    Liu, Jing-Yun
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (01): : 379 - 388
12345