Partial Sums of Two Quartic q-Series
Wenchang Chu, Chenying Wang
TL;DR
This paper investigates the partial sums of two quartic basic hypergeometric series using the modified Abel lemma, leading to new summation and transformation formulas for these series.
Contribution
It introduces new summation and transformation formulas for partial sums of two quartic basic hypergeometric series using the modified Abel lemma.
Findings
Derived new summation formulas for quartic hypergeometric series
Established transformation identities for these series
Enhanced understanding of series partial sums
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.
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