Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry

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dc.creatorvan Diejen, J. F.
dc.date2004-12-29
dc.date.accessioned2026-07-07T08:06:38Z
dc.date.available2026-07-07T08:06:38Z
dc.descriptionWe present a formula describing the asymptotics of a class of multivariate orthogonal polynomials with hyperoctahedral symmetry as the degree tends to infinity. The polynomials under consideration are characterized by a factorized weight function satisfying certain analyticity assumptions. As an application, the large-degree asymptotics of the Koornwinder-Macdonald BC_N-type multivariate Askey-Wilson polynomials is determined.
dc.description13 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0412532
dc.identifierhttp://arxiv.org/abs/math/0412532
dc.identifierContemporary Math. 417 (2006), 157-169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130672
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subject33D52; 41A60
dc.titleAsymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry
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