Complete monotonicity related to the k-polygamma functions with applications

被引:0
|
作者
Li Yin
Jumei Zhang
XiuLi Lin
机构
[1] Binzhou University,College of Science
[2] Qufu Normal University,College of Mathematics Science
来源
Advances in Difference Equations | / 2019卷
关键词
Complete monotonicity; -digamma function; -polygamma functions; 33B15; 26A48;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we prove complete monotonicity of some functions involving k-polygamma functions. As an application of the main result, we also give new upper and lower bounds of the k-digamma function.
引用
收藏
相关论文
共 50 条
  • [1] Complete monotonicity related to the k-polygamma functions with applications
    Yin, Li
    Zhang, Jumei
    Lin, XiuLi
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [2] Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions
    Ju-Mei Zhang
    Li Yin
    Hong-Lian You
    Journal of Inequalities and Applications, 2020
  • [3] Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions
    Zhang, Ju-Mei
    Yin, Li
    You, Hong-Lian
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [4] Complete Monotonicity and Inequalities Involving the k-Gamma and k-Polygamma Functions
    Zhang, Ju-Mei
    Yin, Li
    You, Hong-Lian
    MATHEMATICA SLOVACA, 2023, 73 (05) : 1217 - 1230
  • [5] Complete monotonicity results for some functions involving the gamma and polygamma functions
    Sevli, Hamdullah
    Batir, Necdet
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) : 1771 - 1775
  • [6] COMPLETE MONOTONICITY INVOLVING THE DIVIDED DIFFERENCE OF POLYGAMMA FUNCTIONS
    Yang, Zhen-Hang
    Tian, Jing-Feng
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2023, 17 (01) : 138 - 158
  • [7] Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
    Guo, Bai-Ni
    Qi, Feng
    Srivastava, H. M.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (11) : 849 - 858
  • [8] Monotonicity and positivity of several functions involving ratios and products of polygamma functions
    Qi, Feng
    Lim, Dongkyu
    Nantomah, Kwara
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [9] On complete monotonicity for several classes of functions related to ratios of gamma functions
    Feng Qi
    Ravi P. Agarwal
    Journal of Inequalities and Applications, 2019
  • [10] MONOTONICITY RESULTS FOR FUNCTIONS INVOLVING THE q-POLYGAMMA FUNCTIONS
    Yang, Zhen-hang
    Tian, Jing-feng
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (04) : 1213 - 1229