Watson-type 3F2-series and summation formulae involving generalized harmonic numbers

被引：1

作者：

Wei, Chuanan ^{[1
]}

Yu, Yuanbo ^{[1
]}

Zhang, Huajun ^{[2
]}

机构：

[1] Hainan Med Univ, Dept Med Informat, Haikou, Hainan, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2018年 / 24卷 / 09期

关键词：

Hypergeometric series; Watson's F-3(2)-series identity; derivative operator; Harmonic numbers; HYPERGEOMETRIC-SERIES; DERIVATIVE OPERATOR; ARITHMETIC THEORY; ZETA-FUNCTION; IDENTITIES; SUMS;

D O I：

10.1080/10236198.2018.1499733

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By applying the derivative operator to Watson-type F-3(2)-series identities and using the bijection method of two-term difference as well as L'Hospital rule, three families of summation formulae involving generalized harmonic numbers are established.

引用

页码：1444 / 1472

页数：29

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