CLOSED FORM REPRESENTATIONS OF HARMONIC SUMS

被引：0
|
作者：
Sofo, Anthony [1 ]
机构：
[1] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2010年 / 39卷 / 02期
关键词：
Harmonic numbers; Zeta functions; Binomial coefficients; Integral representations; MATHEMATICAL CONSTANTS; SERIES REPRESENTATIONS; BINOMIAL COEFFICIENTS; EULER SUMS; NUMBERS; IDENTITIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a master theorem from which we are able to represent infinite sums of harmonic numbers and binomial coefficients in both integral and closed form. The new results extend known existing results in the published literature.
引用
收藏
页码：255 / 263
页数：9
相关论文
共 50 条
  • [31] Some evaluation of harmonic number sums
    Xu, Ce
    Zhang, Mingyu
    Zhu, Weixia
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 27 (12) : 937 - 955
  • [32] On some combinatorial identities and harmonic sums
    Batir, Necdet
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (07) : 1695 - 1709
  • [33] PARAMETRIC EULER SUMS OF HARMONIC NUMBERS
    Quan, Junjie
    Wang, Xiyu
    Wei, Xiaoxue
    Xu, Ce
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (04) : 1033 - 1051
  • [34] SHIFTED HARMONIC SUMS OF ORDER TWO
    Sofo, Anthony
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 29 (02): : 239 - 255
  • [35] A congruence for some generalized harmonic type sums
    Goral, Haydar
    Sertbas, Doga Can
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (04) : 1033 - 1046
  • [36] GENERALIZED HARMONIC NUMBER SUMS AND QUASISYMMETRIC FUNCTIONS
    Chen, Kwang-Wu
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (04) : 1253 - 1275
  • [37] Sturdy Harmonic Functions and their Integral Representations
    Jürgen Bliedtner
    Peter A. Loeb
    Positivity, 2003, 7 : 355 - 387
  • [38] Sturdy harmonic functions and their integral representations
    Bliedtner, J
    Loeb, PA
    POSITIVITY, 2003, 7 (04) : 355 - 387
  • [39] On the closed form of Clausen functions
    Trickovic, Slobodan B.
    Stankovic, Miomir S.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2023, 34 (06) : 469 - 477
  • [40] Harmonic Maass form eigencurves
    Wagner, Ian
    RESEARCH IN THE MATHEMATICAL SCIENCES, 2018, 5
12345