Sums of a certain class of q-series
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.
scientific article; zbMATH DE number 4065425