Dessins d'Enfants, Their Deformations and Algebraic the Sixth Painlevé and Gauss Hypergeometric Functions

Simple item page
dc.creatorKitaev, A. V.
dc.date2003-09-30
dc.date2003-10-09
dc.date.accessioned2026-07-07T05:34:59Z
dc.date.available2026-07-07T05:34:59Z
dc.descriptionWe consider an application of Grothendieck's dessins d'enfants to the theory of the sixth Painlevé and Gauss hypergeometric functions: two classical special functions of the isomonodromy type. It is shown that, higher order transformations and the Schwarz table for the Gauss hypergeometric function are closely related with some particular Belyi functions. Moreover, we introduce a notion of deformation of the dessins d'enfants and show that one dimensional deformations are a useful tool for construction of algebraic the sixth Painlevé functions.
dc.description37 pages, Two references are added and commented in the Introduction
dc.identifierhttps://arxiv.org/abs/nlin/0309078
dc.identifierhttp://arxiv.org/abs/nlin/0309078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80573
dc.subjectExactly Solvable and Integrable Systems
dc.subjectClassical Analysis and ODEs
dc.titleDessins d'Enfants, Their Deformations and Algebraic the Sixth Painlevé and Gauss Hypergeometric Functions
dc.typetext

Files

Collections

arXiv