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

Yoshihiro Takeyama
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Abstract

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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Yoshihiro Takeyama. 2000-05-08. The q-twisted cohomology and the q-hypergeometric function at |q|=1. https://arxiv.org/abs/math/0005071

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