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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Bibliographic Details
Published in:	Journal of difference equations and applications Vol. 24; no. 7; pp. 1114 - 1125
Main Authors:	Chen, Yuwu, Wang, Xiaoxia
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 03.07.2018 Taylor & Francis Ltd
Subjects:	generalized harmonic numbers hypergeometric series infinite summation formulas Riemann Zeta function
ISSN:	1023-6198, 1563-5120
Online Access:	Get full text
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Description
Summary:	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.
Bibliography:	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