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arXiv · 2005.13223

Variants of confluent q-hypergeometric equations

Ryuya Matsunawa·Tomoki Sato·Kouichi Takemura
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Abstract

Variants of the q-hypergeometric equation were introduced in our previous paper with Hatano. In this paper, we consider degenerations of the variant of the q-hypergeometric equation, which is a q-analogue of confluence of singularities in the setting of the differential equation. We also consider degenerations of solutions to the q-difference equations.

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Ryuya Matsunawa, Tomoki Sato, Kouichi Takemura. 2020-05-27. Variants of confluent q-hypergeometric equations. https://arxiv.org/abs/2005.13223

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