TL;DR
This paper explores $q$-analytic derivations of the $q$-Gauss summation formula for basic hypergeometric series, emphasizing symmetry in the upper parameters.
Contribution
It introduces $q$-analytic derivations that preserve symmetry in the parameters of the $q$-Gauss summation, advancing understanding of $q$-hypergeometric identities.
Findings
Derived new symmetric $q$-analytic formulas
Extended the $q$-Gauss summation with symmetry considerations
Provided insights into $q$-hypergeometric series structure
Abstract
We consider -analytic derivations of the -Gauss summation formula for a that respect the symmetry in its upper parameters.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Advanced Combinatorial Mathematics