Tom H. Koornwinder
Published 2009-09-15, updated 2009-10-06Version 2
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.
Comments: 29 pages, 8 figures, figures improved, references and remarks added, accepted by Ramanujan Journal
Journal: Ramanujan J. 20 (2009), 409-439
Properties of the zeros of the polynomials belonging to the Askey scheme
Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials
Charting the $q$-Askey scheme. III. Verde-Star scheme for $q=1$
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