Home > Articles > Published articles > Infinite series identities involving quadratic and cubic harmonic numbers |
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 |
16 p, 280.4 KB |