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.

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

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