$q$-Discrete Painlevé equations for recurrence coefficients of modified $q$-Freud orthogonal polynomials

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dc.creatorBoelen, Lies
dc.creatorSmet, Christophe
dc.creatorVan Assche, Walter
dc.date2008-08-07
dc.date.accessioned2026-07-07T09:55:22Z
dc.date.available2026-07-07T09:55:22Z
dc.descriptionWe present an asymmetric $q$-Painlevé equation. We will derive this using $q$-orthogonal polynomials with respect to generalized Freud weights: their recurrence coefficients will obey this $q$-Painlevé equation (up to a simple transformation). We will show a stable method of computing a special solution which gives the recurrence coefficients. We establish a connection with $α-q-P_V$.
dc.description16 pages, 4 figures. Accepted, to appear in Journal of Difference Equations and Applications
dc.identifierhttps://arxiv.org/abs/0808.0982
dc.identifierhttp://arxiv.org/abs/0808.0982
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166606
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subject34M55 (Primary) 65Q05, 33D45, 39A13 (Secondary)
dc.title$q$-Discrete Painlevé equations for recurrence coefficients of modified $q$-Freud orthogonal polynomials
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