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arXiv · 1106.1543

Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial

Kouichi Takemura
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Abstract

We study Heun's differential equation in the case that one of the singularities is apparent. In particular we conjecture a relationship with generalized hypergeometric differential equation and establish it in some cases. We apply our results to exceptional Jacobi polynomials.

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Kouichi Takemura. 2011-06-08. Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial. https://doi.org/10.1088/1751-8113%2F45%2F8%2F085211

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