Some classes of infinite series associated with the Riemann Zeta and Polygamma functions and generalized harmonic numbers

Rassias, TM; Srivastava, HM

dc.contributor.author	Rassias, TM	en
dc.contributor.author	Srivastava, HM	en
dc.date.accessioned	2014-03-01T01:18:21Z
dc.date.available	2014-03-01T01:18:21Z
dc.date.issued	2002	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14953
dc.subject	Fractional calculus	en
dc.subject	Gauss summation theorem	en
dc.subject	Generalized harmonic numbers	en
dc.subject	Polygamma functions	en
dc.subject	Riemann Zeta function	en
dc.subject	Stirling numbers of the first kind	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	FRACTIONAL CALCULUS	en
dc.subject.other	DIGAMMA FUNCTIONS	en
dc.subject.other	SUMS	en
dc.title	Some classes of infinite series associated with the Riemann Zeta and Polygamma functions and generalized harmonic numbers	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0096-3003(01)00172-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0096-3003(01)00172-2	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	The authors aim at presenting a systematic investigation of several families of infinite series which are associated with the Riemann Zeta function, the Digamma (and Polygamma) functions, the harmonic (and generalized harmonic) numbers, and the Stirling numbers of the first kind. Relevant connections of the results derived here with those considered in many earlier works on this subject are also indicated. (C) 2002 Elsevier Science Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/S0096-3003(01)00172-2	en
dc.identifier.isi	ISI:000177595500029	en
dc.identifier.volume	131	en
dc.identifier.issue	2-3	en
dc.identifier.spage	593	en
dc.identifier.epage	605	en