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arxiv: math/0005071 · v1 · submitted 2000-05-08 · 🧮 math.QA · math.CA

The q-twisted cohomology and the q-hypergeometric function at |q|=1

classification 🧮 math.QA math.CA
keywords functioncohomologyproveq-hypergeometricq-twistedtypeassociatedbarnes
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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.

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