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
  • [41] Some completely monotonic functions involving the polygamma functions
    Peng Gao
    Journal of Inequalities and Applications, 2019
  • [42] A class of completely monotonic functions involving the polygamma functions
    Liang, Li-Chun
    Zheng, Li-Fei
    Wan, Aying
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [43] SOME COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE q-GAMMA FUNCTION
    Gao, Peng
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (02): : 451 - 460
  • [44] A CLASS OF COMPLETELY MIXED MONOTONIC FUNCTIONS INVOLVING THE GAMMA FUNCTION WITH APPLICATIONS
    Yang, Zhen-Hang
    Tian, Jing-Feng
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (11) : 4707 - 4721
  • [45] BOUNDS FOR THE RATIO OF TWO GAMMA FUNCTIONS-FROM WENDEL'S AND RELATED INEQUALITIES TO LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS
    Qi, Feng
    Luo, Qiu-Ming
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2012, 6 (02) : 132 - 158
  • [46] SOME COMPLETELY MONOTONIC FUNCTIONS RELATED TO THE PSI FUNCTION
    Buric, Tomislav
    Elezovic, Neven
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (03): : 679 - 691
  • [47] SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS AND INEQUALITIES FOR MULTINOMIAL COEFFICIENTS AND MULTIVARIATE BETA FUNCTIONS
    Qi, Feng
    Niu, Da-Wei
    Lim, Dongkyu
    Guo, Bai-Ni
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020, 14 (02) : 512 - 527
  • [48] Some classes of completely monotonic functions, II
    Horst Alzer
    Christian Berg
    The Ramanujan Journal, 2006, 11 : 225 - 248
  • [49] Some classes of completely monotonic functions, II
    Alzer, Horst
    Berg, Christian
    RAMANUJAN JOURNAL, 2006, 11 (02): : 225 - 248
  • [50] Some completely monotonic functions involving polygamma functions and an application
    Qi, F
    Cui, RQ
    Chen, CP
    Guo, BN
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 310 (01) : 303 - 308
12345