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arXiv · 2605.01406

Special Solutions of $q$-Heun Equation by $q$-Integral Transformations

Ayaka Murakami·Kouichi Takemura
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Abstract

We obtain special solutions of the $q$-Heun equation which are expressed as finite summations of $q$-hypergeometric functions. These solutions are obtained by considering the $q$-integral transformations of the polynomial-type solutions.

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Ayaka Murakami, Kouichi Takemura. 2026-05-02. Special Solutions of $q$-Heun Equation by $q$-Integral Transformations. https://arxiv.org/abs/2605.01406

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