dorsal/arxiv
View SchemaRational Solutions for the Discrete Painlev\'e II Equation
| Authors | Kenji Kajiwara, Kazushi Yamamoto, Yasuhiro Ohta |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9702001 |
| URL | https://arxiv.org/abs/solv-int/9702001 |
| DOI | 10.1016/S0375-9601(97)00397-6 |
Abstract
The rational solutions for the discrete Painlev\'e 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 Painlev\'e II equation is also discussed.
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"abstract": "The rational solutions for the discrete Painlev\\\u0027e II equation are\nconstructed based on the bilinear formalism. It is shown that they are\nexpressed by the determinant whose entries are given by the Laguerre\npolynomials. Continuous limit to the Devisme polynomial representation of the\nrational solutions for the Painlev\\\u0027e II equation is also discussed.",
"arxiv_id": "solv-int/9702001",
"authors": [
"Kenji Kajiwara",
"Kazushi Yamamoto",
"Yasuhiro Ohta"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(97)00397-6",
"title": "Rational Solutions for the Discrete Painlev\\\u0027e II Equation",
"url": "https://arxiv.org/abs/solv-int/9702001"
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