The Askey scheme as a four-manifold with corners

Details The Askey scheme as a four-manifold with corners The Askey scheme as a four-manifold with corners

2009-09-15

arxiv.org/abs/0909.2822v2

Ramanujan J. 20 (2009), 409-439

Mathematics

Classical Analysis and ODEs

29 pages, 8 figures, figures improved, references and remarks added, accepted by Ramanujan Journal

Scientific paper

10.1007/s11139-009-9208-7

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.

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