Evaluating a class of balanced $q$-series
Authors : Wenchang Chu
Pages : 2699-2706
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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