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arXiv · 0911.2162

Integral transformation and Darboux transformation

Kouichi Takemura
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Abstract

We review Darboux-Crum transformation of Heun's differential equation. By rewriting an integral transformation of Heun's differential equation into a form of elliptic functions, we see that the integral representation is a generalization of Darboux-Crum transformation. We also consider conservation of monodromy with respect to the transformations.

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Kouichi Takemura. 2009-11-11. Integral transformation and Darboux transformation. https://doi.org/10.1063/1.3367079

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