Summation formulas involving generalized harmonic numbers

被引：4

作者：

Wei, Chuanan ^{[1
,2
]}

Wang, Xiaoxia ^{[3
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China

[2] Hainan Med Coll, Dept Informat Technol, Haikou, Peoples R China

[3] Shanghai Univ, Dept Math, Shanghai, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 10期

关键词：

Hypergeometric series; derivative operator; harmonic numbers; Primary: 05A10; Secondary: 33C20; HYPERGEOMETRIC-SERIES; DERIVATIVE OPERATOR; IDENTITIES; SUMS;

D O I：

10.1080/10236198.2016.1216112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the derivative operator and three hypergeometric series identities, several interesting summation formulas involving generalized harmonic numbers are established.

引用

页码：1554 / 1567

页数：14

共 50 条

[1] Certain summation formulas involving harmonic numbers and generalized harmonic numbers
Choi, Junesang
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 734 - 740
[2] Some summation formulas involving harmonic numbers and generalized harmonic numbers
Choi, Junesang
Srivastava, H. M.
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) : 2220 - 2234
[3] Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers
Choi, Junesang
ABSTRACT AND APPLIED ANALYSIS, 2014,
[4] Four families of summation formulas involving generalized harmonic numbers
Wang, Jun
Wei, Chuanan
RAMANUJAN JOURNAL, 2018, 45 (01): : 73 - 94
[5] Four families of summation formulas involving generalized harmonic numbers
Jun Wang
Chuanan Wei
The Ramanujan Journal, 2018, 45 : 73 - 94
[6] Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers
Junesang Choi
Journal of Inequalities and Applications, 2013
[7] Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers
Choi, Junesang
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[8] Derivative operator and summation formulae involving generalized harmonic numbers
Wang, Jun
Wei, Chuanan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 434 (01) : 315 - 341
[9] Gauss identity and summation formulae involving generalized harmonic numbers
Hou, Hailong
Gu, Rui
Tong, Mengdi
Song, Yanhua
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (18) : 9441 - 9448
[10] INVERSE TRIGONOMETRIC AND HYPERBOLIC SUMMATION FORMULAS INVOLVING GENERALIZED FIBONACCI NUMBERS
MELHAM, RS
SHANNON, AG
FIBONACCI QUARTERLY, 1995, 33 (01): : 32 - 40

← 1 2 3 4 5 →