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arXiv · solv-int/9702001

Rational Solutions for the Discrete Painlevé II Equation

Kenji Kajiwara·Kazushi Yamamoto·Yasuhiro Ohta
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Abstract

The rational solutions for the discrete Painlevé II equation are constructed based on the bilinear formalism. It is shown that they are expressed by the determinant whose entries are given by the Laguerre polynomials. Continuous limit to the Devisme polynomial representation of the rational solutions for the Painlevé II equation is also discussed.

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Kenji Kajiwara, Kazushi Yamamoto, Yasuhiro Ohta. 1997-02-10. Rational Solutions for the Discrete Painlevé II Equation. https://doi.org/10.1016/s0375-9601(97)00397-6

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