Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painleve IV Equation

• Joshi Nalini

  The University of Sydney

• Kajiwara Kenji

  Kyushu University

• Mazzocco Marta

  The University of Manchester

Abstract

We consider a Hankel determinant formula for generic solutions of the Painlevé IV equation. We show that the generating functions for the entries of the Hankel determinants are related to the asymptotic solution at infinity of the isomonodromic problem. Summability of these generating functions is also discussed.

Journal

• Funkcialaj Ekvacioj

  Funkcialaj Ekvacioj 49 (3), 451-468, 2006

  Division of Functional Equations, The Mathematical Society of Japan

Keywords

• Painlevé equation
• Determinant formula
• Isomonodromic problem

Details

• CRID: 1390001205113000832
• NII Article ID: 120000981501
• DOI: 10.1619/fesi.49.451
• HANDLE: 2324/11862
• ISSN: 05328721
• Web Site: http://www.jstage.jst.go.jp/article/fesi/49/3/49_3_451/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed