Padé interpolation for elliptic painlevé equation

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Abstract

An interpolation problem related to the elliptic Painlevé equation is formulated and solved. A simple form of the elliptic Painlevé equation and the Lax pair are obtained. Explicit determinant formulae of special solutions are also given. © Springer-Verlag London 2013.

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Noumi, M., Tsujimoto, S., & Yamada, Y. (2013). Padé interpolation for elliptic painlevé equation. In Springer Proceedings in Mathematics and Statistics (Vol. 40, pp. 463–482). Springer New York LLC. https://doi.org/10.1007/978-1-4471-4863-0_18

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