Integral transformation and Darboux transformation
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🧮 math.CA
math-phmath.MP
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transformationintegraldarboux-crumdifferentialequationheunconservationconsider
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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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