Three classes of logarithmically completely monotonic functions involving gamma and psi functions

被引：55
|
作者：
Qi, Feng [1 ]
机构：
[1] Henan Univ, Coll Math & Informat Sci, Kaifeng City 475001, Henan Province, Peoples R China
[2] Henan Polytech Univ, Res Inst Math Inequal Theory, Jiaozuo City 454010, Henan Province, Peoples R China
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 07期
关键词：
logarithmically completely monotonic function; completely monotonic function; ratio; gamma function; psi function; inequality;
D O I：
10.1080/10652460701358976
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By a simple approach, two classes of functions involving Euler's gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi function is showed to be completely monotonic.
引用
收藏
页码：503 / 509
页数：7
相关论文
共 50 条
  • [1] A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS
    Qi, Feng
    Li, Wen-Hui
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (04): : 626 - 634
  • [2] LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GENERALIZED GAMMA AND q- GAMMA FUNCTIONS
    Krasniqi, Valmir
    Guo, Senlin
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2010, 1 (02): : 8 - 16
  • [3] Four logarithmically completely monotonic functions involving gamma function
    Qi, Feng
    Niu, Da-Wei
    Cao, Jian
    Chen, Shou-Xin
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (02) : 559 - 573
  • [4] LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GENERALIZED GAMMA FUNCTION
    Krasniqi, Valmir
    Merovci, Faton
    MATEMATICHE, 2010, 65 (02): : 15 - 23
  • [5] TWO CLASSES OF LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS ASSOCIATED WITH THE GAMMA FUNCTION
    Chen, Chaoping
    Wang, Gang
    Zhu, Hua
    COMPUTATIONAL INTELLIGENCE: FOUNDATIONS AND APPLICATIONS: PROCEEDINGS OF THE 9TH INTERNATIONAL FLINS CONFERENCE, 2010, 4 : 168 - +
  • [6] 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
  • [7] 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
  • [8] 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
  • [9] A class of logarithmically completely monotonic functions associated with the gamma function
    Guo, Senlin
    Qi, Feng
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (01) : 127 - 132
  • [10] A Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function
    Zhao, Tie-Hong
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
12345