September 18, 2024Open Access

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

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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 (Wed,) studied this question.

synapsesocial.com/papers/68e581f7b6db64358751fecc https://doi.org/https://doi.org/10.3842/sigma.2024.083

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