The $q$-twisted Cohomology and the $q$-hypergeometric Function at $|q|=1$
Copyright policy )The $q$-twisted Cohomology and the $q$-hypergeometric Function at $|q|=1$
We construct the q -twisted cohomology associated with the q -multiplicative function of Jordan–Pochhammer type at |q|=1 . In this framework, we prove the Heine's relations and a connection formula for the q -hypergeometric function of the Barnes type. We also prove an orthogonality relation of the q -little Jacobi polynomials at |q|=1 .
Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Heine's transformations, little \(q\)-Jacobi polynomials, \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-hypergeometric functions, Mathematics - Classical Analysis and ODEs, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), Basic hypergeometric integrals and functions defined by them
Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Heine's transformations, little \(q\)-Jacobi polynomials, \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-hypergeometric functions, Mathematics - Classical Analysis and ODEs, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), Basic hypergeometric integrals and functions defined by them
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