Generalization of harmonic sums involving inverse binomial coefficients

被引：5
作者：
Ripon, Sarowar Morshed [1 ]
机构：
[1] Bangladesh Univ Engn & Technol, Dept Ind & Prod Engn, Dhaka, Bangladesh
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 10期
关键词：
harmonic numbers; Hurwitz Zeta functions; binomial coefficients; multiple integral representations; bell polynomials; CLOSED-FORM; EULER SUMS; REPRESENTATIONS;
D O I：
10.1080/10652469.2014.928705
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized theorem related to harmonic sums is investigated from which we are able to represent an infinite number of sums of harmonic numbers in both multiple integral and closed forms. The new theorem generalizes known existing results in the published literature.
引用
收藏
页码：821 / 835
页数：15
相关论文
共 50 条
[31]   Generalized alternating hyperharmonic number sums with reciprocal binomial coefficients [J].
Li, Rusen .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 504 (01)
[32]   ASYMPTOTIC EXPRESSIONS AND FORMULAS FOR FINITE SUMS OF POWERS OF BINOMIAL COEFFICIENTS INVOLVING SPECIAL NUMBERS AND POLYNOMIALS [J].
Kilar, Neslihan .
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2023, 14 (01) :51-67
[33]   Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers [J].
Simsek, Yilmaz .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (14) :3007-3021
[34]   Polynomial Identities for Binomial Sums of Harmonic Numbers of Higher Order [J].
Komatsu, Takao ;
Sury, B. .
MATHEMATICS, 2025, 13 (02)
[35]   On the distribution of the sums of binomial coefficients modulo a prime [J].
Faure, H .
MONATSHEFTE FUR MATHEMATIK, 2000, 131 (04) :263-277
[36]   A NOTE ON THE CONGRUENCES WITH SUMS OF POWERS OF BINOMIAL COEFFICIENTS [J].
Shen, Zhongyan ;
Cai, Tianxin .
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2018, 58 (02) :221-232
[37]   Integral Identities for Rational Series Involving Binomial Coefficients [J].
Sofo, Anthony .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2011, 34 (03) :631-637
[38]   SOME CONGRUENCES INVOLVING BINOMIAL COEFFICIENTS [J].
Cao, Hui-Qin ;
Sun, Zhi-Wei .
COLLOQUIUM MATHEMATICUM, 2015, 139 (01) :127-136
[39]   REMARKS ON A SUM INVOLVING BINOMIAL COEFFICIENTS [J].
Alzer, Horst .
REAL ANALYSIS EXCHANGE, 2013, 39 (02) :363-365
[40]   On Congruences with Binomial Coefficients and Harmonic Numbers [J].
Koparal, Sibel ;
Elkhiri, Laid ;
Omur, Nese .
FILOMAT, 2022, 36 (03) :951-960
12345