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

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

2000-05-08

arxiv.org/abs/math/0005071v1

Mathematics

Quantum Algebra

16 pages

Scientific paper

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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