The Askey scheme as a four-manifold with corners

Open Access
Authors
Publication date 2009
Journal The Ramanujan Journal
Volume | Issue number 20 | 3
Pages (from-to) 409-439
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Racah and Wilson polynomials with dilated and translated argument are reparametrized such that the polynomials are continuous in the parameters as long as these are nonnegative, and such that restriction of one or more of the new parameters to zero yields orthogonal polynomials lower in the Askey scheme. Geometrically this will be described as a manifold with corners.
Document type Article
Published at https://doi.org/10.1007/s11139-009-9208-7
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