Partial Sums of Two Quartic q-Series

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.

Keywords

• basic hypergeometric series (q-series)
• well-poised q-series
• quadratic q-series
• cubic q-series
• quartic q-series
• the modified Abel lemma on summation by parts