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.
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页码：1444 / 1472
页数：29
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