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

DOI10.1619/fesi.49.451zbMath1154.34398arXivnlin/0512041OpenAlexW2568241015MaRDI QIDQ3521901

Nalini Joshi, Marta Mazzocco, Kenji Kajiwara

Publication date: 28 August 2008

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0512041

zbMATH Keywords

Painlevé equationisomonodromic problemdeterminant formula

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotic expansions of solutions to ordinary differential equations (34E05) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (4)

Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\) ⋮ Determinant structure for \(\tau\)-function of holonomic deformation of linear differential equations ⋮ Classical integrability for beta-ensembles and general Fokker-Planck equations ⋮ A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions*

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