Generating function associated with the rational solutions of the Painlevé II equation

Katsunori Iwasaki; Kenji Kajiwara; Toshiya Nakamura

doi:10.1088/0305-4470/35/16/101

Generating function associated with the rational solutions of the Painlevé II equation

Katsunori Iwasaki, Kenji Kajiwara, Toshiya Nakamura

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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
Pages (from-to)	L207-L211
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	16
DOIs	https://doi.org/10.1088/0305-4470/35/16/101
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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10.1088/0305-4470/35/16/101

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title = "Generating function associated with the rational solutions of the Painlev{\'e} II equation",

abstract = "We consider the Hankel determinant representation for the rational solutions of the Painlev{\'e} II equation. We give an explicit formula for the generating function of the entries in terms of logarithmic derivative of the Airy function.",

author = "Katsunori Iwasaki and Kenji Kajiwara and Toshiya Nakamura",

year = "2002",

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doi = "10.1088/0305-4470/35/16/101",

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T1 - Generating function associated with the rational solutions of the Painlevé II equation

AU - Iwasaki, Katsunori

AU - Kajiwara, Kenji

AU - Nakamura, Toshiya

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Y1 - 2002/4/26

N2 - 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.

AB - 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.

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 16

ER -

Generating function associated with the rational solutions of the Painlevé II equation

Abstract

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