A certain family of infinite series associated with digamma functions
type: Item
instance of: scholarly article
title: A certain family of infinite series associated with digamma functions
zbMATH Open document ID: 0726.33002
DOI: 10.1016/0022-247X(91)90200-J
author: B. N. Al-Saqabi
author: S. L. Kalla
author: H. M. Srivastava
published in: Journal of Mathematical Analysis and Applications
publication date: 1991-01-01T00:00:00Z
review text: The sums of several interesting infinite series were expressed recently in terms of the Psi (or Digamma) functions. The object of this paper is to present a systematic account of these (and of numerous similar or general) series whose sums can be found in the literature in various equivalent forms. Some relevant unifications and further generalizations are also considered. Related references include some recent papers by (i) \textit{S. L. Kalla} and \textit{B. Al-Saqabi} [C. R. Acad. Bulg. Sci. 41, No. 11, 15--17 (1988; Zbl 0662.33001)], (ii) \textit{K. Nishimoto} and \textit{H. M. Srivastava} [J. Coll. Eng., Nihon Univ., Ser. B 30, 97--106 (1989; Zbl 0651.33002)], and (iii) \textit{H. M. Srivastava} [Stud. Appl. Math. 86, No. 1, 79--86 (1992; Zbl 0724.33002)].
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 4198453
MaRDI profile type: Publication
cites work: Q4057485
cites work: Q3284008
cites work: Q3810929
cites work: Some Summation Formulas for the Series 3 F 2 (1)
cites work: The special functions and their approximations. Vol. I, II
cites work: Some remarks on uniform asymptotic expansions for Bessel functions
cites work: Q3795970
cites work: Q3744481
cites work: Q5508372
cites work: A Simple Algorithm for the Evaluation of a Class of Generalized Hypergeometric Series
description: scientific article; zbMATH DE number 4198453