Sums of a certain class of q-series
type: Item
instance of: scholarly article
title: Sums of a certain class of q-series
zbMATH Open document ID: 0653.33004
published in: Proceedings of the Japan Academy. Series A
publication date: 1989-01-01T00:00:00Z
review text: Recently, \textit{M. Vowe} and \textit{H.-J. Seiffert} [Elem. Math. 42, 111-112 (1987)] evaluated the sum of a terminating series involving binomial coefficients by identifying the series with an Eulerian beta integral. In an attempt to find the sum without evaluating the Eulerian integral involved, the author [Elem. Math. 43, 54-58 (1988)] was led subsequently to the fact that the Vowe-Seiffert formula is just one of numerous interesting (and useful) consequences of Kummer's summation theorem for a Gaussian hypergeometric series with argument 1/2. The object of the note under review is to derive certain basic (or q-) extensions of the Vowe- Seiffert sum and indeed also of its various generalizations given already in the author's earlier paper referred to above.
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 05A30
zbMATH DE Number: 4065425
author: H. M. Srivastava
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
full work available at URL: pjaa.65.8
OpenAlex ID: W2080938990
cites work: On the q-analog of Kummer's theorem and applications
cites work: Theq-Gamma andq-Beta Functions†
cites work: Sums of a certain family of series
cites work: Q3345085
cites work: Task 946
DOI: 10.3792/PJAA.65.8
description: scientific article; zbMATH DE number 4065425