A certain class of infinite sums associated with Digamma functions

Citation
Tc. Wu et al., A certain class of infinite sums associated with Digamma functions, APPL MATH C, 105(1), 1999, pp. 1-9
Citations number
6
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
105
Issue
1
Year of publication
1999
Pages
1 - 9
Database
ISI
SICI code
0096-3003(199910)105:1<1:ACCOIS>2.0.ZU;2-R
Abstract
The sums of several interesting families of infinite series were recently e xpressed in terms of the Psi (or Digamma) functions. The main object of thi s paper is to present a further generalization of two such classes of infin ite sums which were considered earlier by Al-Saqabi et al. (J. Math. Anal. Appl. 159 (1991) 361-372). Some other results, relevant to the present inve stigation, are also indicated. (C) 1999 Elsevier Science Inc. All rights re served.