Summation formulae for $q$-Watson type $_4\phi_3$-series
Chuanan Wei, Dianxuan Gong, Jianbo Li
TL;DR
This paper derives new summation formulas for $q$-Watson type $_4\,phi_3$-series using series rearrangement, expanding the mathematical tools available for basic hypergeometric series analysis.
Contribution
It introduces two new families of summation formulas for $q$-Watson type $_4\phi_3$-series through the method of series rearrangement.
Findings
Two new summation formulae for $q$-Watson $_4\phi_3$-series
Enhanced understanding of series rearrangement techniques
Potential applications in basic hypergeometric series theory
Abstract
According to the method of series rearrangement, we establish two families of summation formulae for -Watson type -series.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Algebra and Geometry · Algebraic structures and combinatorial models