Evaluating a class of balanced $q$-series

Authors

WENCHANG CHU

Abstract

By means of the modified Abel lemma on summation by parts, we examine a class of terminating balanced $q$-series. Two transformation formulae are established that contain ten summation formulae as consequences.

DOI

10.3906/mat-1710-90

Keywords

Abel's lemma on summation by parts, basic hypergeometric series, terminating balanced series $q$-Pfaff--Saalschütz theorem

First Page

2699

Last Page

2706

Recommended Citation

CHU, W (2018). Evaluating a class of balanced $q$-series. Turkish Journal of Mathematics 42 (5): 2699-2706. https://doi.org/10.3906/mat-1710-90