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

Nalini Joshi; Kenji Kajiwara; Marta Mazzocco

doi:10.1619/fesi.49.451

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

Nalini Joshi, Kenji Kajiwara, Marta Mazzocco

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We consider a Hankel determinant formula for generic solutions of the Painleve 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.

Original language	English
Pages (from-to)	451-468
Number of pages	18
Journal	Funkcialaj Ekvacioj
Volume	49
Issue number	3
DOIs	https://doi.org/10.1619/fesi.49.451
Publication status	Published - 2006

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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10.1619/fesi.49.451

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title = "Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painleve IV Equation",

abstract = "We consider a Hankel determinant formula for generic solutions of the Painleve 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.",

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AU - Mazzocco, Marta

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AB - We consider a Hankel determinant formula for generic solutions of the Painleve 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.

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

Abstract

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