Generating function associated with the determinant formula for the solutions of the Painlevé II equation

Nalini Joshi, Kenji Kajiwara, Marta Mazzocco

研究成果: Contribution to journalArticle

14 引用 (Scopus)

抜粋

In this paper we consider a Hankel determinant formula for generic solutions of the Painlevé II equation. We show that the generating functions for the entries of the Hankel determinants are related to the asymptotic solution at infinity of the linear problem of which the Painlevé II equation describes the isomonodromic deformations.

元の言語英語
ページ(範囲)67-78
ページ数12
ジャーナルAsterisque
発行部数297
出版物ステータス出版済み - 12 1 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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