Turkish Journal of Mathematics
DOI
10.3906/mat-1710-90
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.
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, WENCHANG
(2018)
"Evaluating a class of balanced $q$-series,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 46.
https://doi.org/10.3906/mat-1710-90
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/46