Certain classes of series identities involving binomial coefficients
type: Item
instance of: scholarly article
zbMATH Open document ID: 1014.33010
author: Young Joon Cho
author: Keumsik Lee
publication date: 2002-10-16T00:00:00Z
Mathematics Subject Classification ID: 33D90
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 1733470
MaRDI profile type: Publication
title: Certain classes of series identities involving binomial coefficients
published in: EAMJ. East Asian Mathematical Journal
review text: Motivated essentially by several series identities considered earlier by the reviewer [Elem. Math. 43, 54-58 (1988; Zbl 0619.33003)], the authors derive a total of nine similar results by employing various known contiguous-function analogues of the familiar Kummer summation theorem for the hypergeometric \(_2F_1(\frac 12)\) series. For various closely-related series identities, one may refer to the recent works of \textit{J. Choi}, \textit{P. Zörnig} and \textit{A. K. Rathie} [Commun. Korean Math. Soc. 14, No. 3, 641-647 (1999; Zbl 0974.33015)]. Basic (or \(q-)\) extensions of the aforementioned series identities were also investigated by the reviewer [Proc. Jap. Acad., Ser. A 65, No. 1, 8-11 (1989; Zbl 0653.33004)].
reviewed by: H. M. Srivastava
description: scientific article; zbMATH DE number 1733470