dorsal/arxiv
View SchemaOn the Umemura Polynomials for the Painlev\'e III equation
| Authors | K. Kajiwara, T. Masuda |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9903015 |
| URL | https://arxiv.org/abs/solv-int/9903015 |
| DOI | 10.1016/S0375-9601(99)00577-0 |
Abstract
A determinant expression for the rational solutions of the Painlev\'e III (P$_{\rm III}$) equation whose entries are the Laguerre polynomials is given. Degeneration of this determinant expression to that for the rational solutions of P$_{\rm II}$ is discussed by applying the coalescence procedure.
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"abstract": "A determinant expression for the rational solutions of the Painlev\\\u0027e III\n(P$_{\\rm III}$) equation whose entries are the Laguerre polynomials is given.\nDegeneration of this determinant expression to that for the rational solutions\nof P$_{\\rm II}$ is discussed by applying the coalescence procedure.",
"arxiv_id": "solv-int/9903015",
"authors": [
"K. Kajiwara",
"T. Masuda"
],
"categories": [
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],
"doi": "10.1016/S0375-9601(99)00577-0",
"title": "On the Umemura Polynomials for the Painlev\\\u0027e III equation",
"url": "https://arxiv.org/abs/solv-int/9903015"
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