### 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 a determinant whose entries are given by the Laguerre polynomials. The continuous limit to the Devisme polynomial representation of the rational solutions for the Painlevé II equation is also discussed.

Original language | English |
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Pages (from-to) | 189-199 |

Number of pages | 11 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 232 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - Jul 28 1997 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cite this

Kajiwara, K., Yamamoto, K., & Ohta, Y. (1997). Rational solutions for the discrete Painlevé II equation.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*232*(3-4), 189-199. https://doi.org/10.1016/S0375-9601(97)00397-6