dorsal/arxiv
View SchemaRational solutions to d-PIV
| Authors | Jarmo Hietarinta, Kenji Kajiwara |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9705002 |
| URL | https://arxiv.org/abs/solv-int/9705002 |
Abstract
We study the rational solutions of the discrete version of Painleve's fourth equation d-PIV. The solutions are generated by applying Schlesinger transformations on the seed solutions -2z and -1/z. After studying the structure of these solutions we are able to write them in a determinantal form that includes an interesting parameter shift that vanishes in the continuous limit.
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"abstract": "We study the rational solutions of the discrete version of Painleve\u0027s fourth\nequation d-PIV. The solutions are generated by applying Schlesinger\ntransformations on the seed solutions -2z and -1/z. After studying the\nstructure of these solutions we are able to write them in a determinantal form\nthat includes an interesting parameter shift that vanishes in the continuous\nlimit.",
"arxiv_id": "solv-int/9705002",
"authors": [
"Jarmo Hietarinta",
"Kenji Kajiwara"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Rational solutions to d-PIV",
"url": "https://arxiv.org/abs/solv-int/9705002"
},
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