On a novel \(q\)-discrete analogue of the Painlevé VI equation
type: Item
instance of: scholarly article
title: On a novel \(q\)-discrete analogue of the Painlevé VI equation
zbMATH Open document ID: 0938.39020
DOI: 10.1016/S0375-9601(99)00296-0
published in: Physics Letters. A
publication date: 2000-03-08T00:00:00Z
Mathematics Subject Classification ID: 39A13
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 1412194
zbMATH Keywords: \(q\)-difference equation
zbMATH Keywords: Painlevé VI equation
zbMATH Keywords: \(q\)-hypergeometric functions
author: B. Grammaticos
author: A. Ramani
MaRDI profile type: Publication
cites work: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
cites work: Discrete versions of the Painlevé equations
cites work: Retracing the Painlevé-Gambier classification for discrete systems
cites work: A \(q\)-analog of the sixth Painlevé equation
cites work: Integrable mappings and soliton equations. II
cites work: Bilinear discrete Painleve equations
cites work: Do integrable mappings have the Painlevé property?
cites work: Degeneration through coalescence of theq-Painlevé VI equation
cites work: Discrete Painlevé equations: coalescences, limits and degeneracies
cites work: Linearization and solutions of the discrete Painlevé III equation
cites work: From discrete to continuous Painlevé equations: a bilinear approach
cites work: Cellular automata and ultra-discrete Painlevé equations
cites work: Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations
full work available at URL: s0375-9601(99)00296-0
OpenAlex ID: W2087742357
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description: scientific article; zbMATH DE number 1412194