On the isomonodromic deformation of certain Pfaffian systems associated to Appell's systems \((F_ 2)\), \((F_ 3)\)
type: Item
instance of: scholarly article
title: On the isomonodromic deformation of certain Pfaffian systems associated to Appell's systems \((F_ 2)\), \((F_ 3)\)
zbMATH Open document ID: 0691.58039
author: Keiichi Nakamura
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: Appell's systems are partial differential systems generalizing the hypergeometric equation to the case of two independent variables. The author rewrites two of the four existing Appell's systems as completely integrable Pfaffian systems on the complex projective plane and deduces equations for the coefficients of these systems which describe their isomonodromic deformations.
Mathematics Subject Classification ID: 58J99
Mathematics Subject Classification ID: 35N10
Mathematics Subject Classification ID: 58A17
zbMATH DE Number: 4131323
zbMATH Keywords: complete integrability
zbMATH Keywords: Appell's systems
zbMATH Keywords: hypergeometric equation
zbMATH Keywords: isomonodromic deformations
reviewed by: S. V. Duzhin
MaRDI profile type: Publication
full work available at URL: pjaa.64.278
OpenAlex ID: W2026862719
cites work: Study of a special class Pfaffian systems of Fuchs type on the complex projective space.
cites work: Q4199051
DOI: 10.3792/PJAA.64.278
description: scientific article; zbMATH DE number 4131323