Partial Sums of Two Quartic q-Series

Abstract

Abstract. The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.

Summation Formulae for Quintic q-Series

“…During the past few decades, there has been growing interest in finding new identities and transformation formulae. In particular, there was an intensive exploration to well-poised series [15][16][17][18], quadratic series [19][20][21][22], cubic series [19,21,23,24], and quartic series [19,20,25,26], mainly made by Gasper and Rahman (see also [2], §3.8) and the author of this paper, with his collaborators.…”