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arXiv · 2207.12777

Hypergeometric solutions for variants of the $q$-hypergeometric equation

Taikei Fujii·Takahiko Nobukawa
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Abstract

We introduce a configuration of a $q$-difference equation and characterize the variants of the $q$-hypergeometric equation, which were defined by Hatano-Matsunawa-Sato-Takemura, by configurations. We show integral solutions and series solutions for the variants of the $q$-hypergeometric equation.

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Taikei Fujii, Takahiko Nobukawa. 2022-07-26. Hypergeometric solutions for variants of the $q$-hypergeometric equation. https://arxiv.org/abs/2207.12777

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