Infinite summation formulas related to Riemann Zeta function from hypergeometric series

Applying Gauss and Watson's famous hypergeometric summation theorems, the authors establish two pattern infinite summation formulas involving generalized harmonic numbers related to Riemann Zeta function.

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Vydané v:Journal of difference equations and applications Ročník 24; číslo 7; s. 1114 - 1125
Hlavní autori: Chen, Yuwu, Wang, Xiaoxia
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Abingdon Taylor & Francis 03.07.2018
Taylor & Francis Ltd
Predmet:
generalized harmonic numbers
hypergeometric series
infinite summation formulas
Riemann Zeta function
ISSN:1023-6198, 1563-5120
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Shrnutí:Applying Gauss and Watson's famous hypergeometric summation theorems, the authors establish two pattern infinite summation formulas involving generalized harmonic numbers related to Riemann Zeta function.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2018.1464562