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arXiv · 2309.09341

Kernel Function, $q$-Integral Transformation and $q$-Heun Equations

Kouichi Takemura
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Abstract

We find kernel functions of the $q$-Heun equation and its variants. We apply them to obtain $q$-integral transformations of solutions to the $q$-Heun equation and its variants. We discuss special solutions of the $q$-Heun equation from the perspective of the $q$-integral transformation.

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Kouichi Takemura. 2023-09-17. Kernel Function, $q$-Integral Transformation and $q$-Heun Equations. https://doi.org/10.3842/sigma.2024.083

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