A class of logarithmically completely monotonic functions

被引：17

作者：

Guo, Senlin ^{[2
]}

Srivastava, H. M. ^{[1
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Necessary and sufficient conditions; Logarithmically completely monotonic functions; Completely monotonic functions; Gamma functions; Psi (or digamma) functions; Polygamma functions;

D O I：

10.1016/j.aml.2007.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main object of this work is to give some conditions for a class of functions to be logarithmically completely monotonic. Our result is shown to be an extension of a result which was proven in the recent literature on this subject. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1134 / 1141

页数：8

共 50 条

[11] Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic
Lv, Yu-Pei
Sun, Tian-Chuan
Chu, Yu-Ming
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[12] Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
Guo, Senlin
Qi, Feng
Srivastava, M.
APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (02) : 768 - 774
[13] Some Properties of Functions Related to Certain Classes of Completely Monotonic Functions and Logarithmically Completely Monotonic Functions
Guo, Senlin
Srivastava, H. M.
Cheung, Wing-Sum
FILOMAT, 2014, 28 (04) : 821 - 828
[14] Logarithmically completely monotonic functions concerning gamma and digamma functions
Qi, Feng
Chen, Shou-Xin
Cheung, Wing-Sum
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (06) : 435 - 443
[15] Logarithmically completely monotonic functions relating to the gamma function
Chen, Chao-Ping
Qi, Feng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (01) : 405 - 411
[16] A class of logarithmically completely monotonic functions related to the q-gamma function and applications
Khaled Mehrez
Positivity, 2017, 21 : 495 - 507
[17] A class of logarithmically completely monotonic functions related to the q-gamma function and applications
Mehrez, Khaled
POSITIVITY, 2017, 21 (01) : 495 - 507
[18] A function class of strictly positive definite and logarithmically completely monotonic functions related to the modified Bessel functions
Jamel El Kamel
Khaled Mehrez
Positivity, 2018, 22 : 1403 - 1417
[19] A function class of strictly positive definite and logarithmically completely monotonic functions related to the modified Bessel functions
El Kamel, Jamel
Mehrez, Khaled
POSITIVITY, 2018, 22 (05) : 1403 - 1417
[20] Two logarithmically completely monotonic functions connected with gamma function
Qi, Feng
Yang, Qiao
Li, Wei
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2006, 17 (07) : 539 - 542

← 1 2 3 4 5 →