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

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Published 12 April 2002 • Published under licence by IOP Publishing Ltd
, , Citation Katsunori Iwasaki et al 2002 J. Phys. A: Math. Gen. 35 L207 DOI 10.1088/0305-4470/35/16/101

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1 Graduate School of Mathematics, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan

Dates

  1. Received 10 December 2001
  2. Published

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0305-4470/35/16/L207

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.

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