JournalsprimsVol. 37, No. 1pp. 71–89

The <em>q</em>-twisted Cohomology and the <em>q</em>-hypergeometric Function at |<em>q</em>|=1

  • Yoshihiro Takeyama

    Kyoto University, Japan
The <em>q</em>-twisted Cohomology and the <em>q</em>-hypergeometric Function at |<em>q</em>|=1 cover
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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.

Cite this article

Yoshihiro Takeyama, The <em>q</em>-twisted Cohomology and the <em>q</em>-hypergeometric Function at |<em>q</em>|=1. Publ. Res. Inst. Math. Sci. 37 (2001), no. 1, pp. 71–89

DOI 10.2977/PRIMS/1145476690