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

Katsunori Iwasaki, Kenji Kajiwara, Toshiya Nakamura

Research output: Contribution to journalArticle

13 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 languageEnglish
Pages (from-to)L207-L211
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number16
DOIs
Publication statusPublished - Apr 26 2002

All Science Journal Classification (ASJC) codes

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

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