Nonsymmetric Jacobi and Wilson-type polynomials
نویسندگان
چکیده
منابع مشابه
Non-symmetric Jacobi and Wilson Type Polynomials
Consider a root system of type BC1 on the real line R with general positive multiplicities. The Cherednik-Opdam transform defines a unitary operator from an L-space on R to a L-space of C-valued functions on R with the Harish-Chandra measure |c(λ)|dλ. By introducing a weight function of the form cosh(t) tanh t on R we find an orthogonal basis for the L-space on R consisting of even and odd func...
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We introduce multiple Wilson polynomials, which give a new example of multiple orthogonal polynomials (Hermite-Padé polynomials) of type II. These polynomials can be written as a Jacobi-Piñeiro transform, which is a generalization of the Jacobi transform for Wilson polynomials, found by T.H. Koornwinder. Here we need to introduce Jacobi and JacobiPiñeiro polynomials with complex parameters. Som...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2006
ISSN: 1073-7928,1687-0247
DOI: 10.1155/imrn/2006/21630