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

Fuente: arXiv
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Autores principales: Murakami, Ayaka, Takemura, Kouichi
Formato: Preprint
Publicado: 2026
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author Murakami, Ayaka
Takemura, Kouichi
author_facet Murakami, Ayaka
Takemura, Kouichi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_01406
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
Murakami, Ayaka
Takemura, Kouichi
Classical Analysis and ODEs
39A13, 33D15, 33E30
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.
title Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
topic Classical Analysis and ODEs
39A13, 33D15, 33E30
url https://arxiv.org/abs/2605.01406