Infinite series identities involving quadratic and cubic harmonic numbers
Wang, Xiaoyuan (Dalian Jiaotong University (Xina). School of Science)
Chu, Wenchang (Zhoukou Normal University (Xina). School of Mathematics and Statistics)

Date:	2018
Abstract:	By means of the modified Abel lemma on summation by parts, we investigate infinite series involving quadratic and cubic harmonic numbers. Several infinite series identities are established for π 2 and ζ(3) as consequences.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Riemann zeta function ; Harmonic numbers ; Abel's lemma on summation by parts ; Partial fraction decomposition ; Telescoping method
Published in:	Publicacions matemàtiques, Vol. 62 Núm. 1 (2018) , p. 285-300 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/329970
DOI: 10.5565/PUBLMAT6211813

16 p, 280.4 KB

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