### Abstract

We consider the Hankel determinant representation for the rational solutions of the Painlevé II equation. We give an explicit formula for the generating function of the entries in terms of logarithmic derivative of the Airy function.

Original language | English |
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Pages (from-to) | L207-L211 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 35 |

Issue number | 16 |

DOIs | |

Publication status | Published - Apr 26 2002 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Iwasaki, K., Kajiwara, K., & Nakamura, T. (2002). Generating function associated with the rational solutions of the Painlevé II equation.

*Journal of Physics A: Mathematical and General*,*35*(16), L207-L211. https://doi.org/10.1088/0305-4470/35/16/101