Results 1 to 10 of about 157 (102)
A Littlewood-Richardson rule for Koornwinder polynomials [PDF]
Journal of Algebraic Combinatorics, 2020 Koornwinder polynomials are $q$-orthogonal polynomials equipped with extra five parameters and the $B C_n$-type Weyl group symmetry, which were introduced by Koornwinder (1992) as multivariate analogue of Askey-Wilson polynomials. They are now understood as the Macdonald polynomials associated to the affine root system of type $(C^\vee_n,C_n)$ via the ...
Kohei Yamaguchi
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Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and ApplicationsIn a recent joint paper with S. Sahi and V. Venkateswaran (2025), families of actions of the double affine Hecke algebra on spaces of quasi-polynomials were introduced. These so-called quasi-polynomial representations led to the introduction of quasi-polynomial extensions of the nonsymmetric Macdonald polynomials, which reduce to metaplectic Iwahori ...
Jasper V. Stokman
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Branching formula for Macdonald–Koornwinder polynomials [PDF]
Journal of Algebra, 2015 8 pages ...
J. F. van Diejen, E. Emsiz
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q-Selberg Integrals and Koornwinder Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2022 We prove a generalization of the q-Selberg integral evaluation formula. The integrand is that of q-Selberg integral multiplied by a factor of the same form with respect to part of the variables. The proof relies on the quadratic norm formula of Koornwinder polynomials.
Jyoichi Kaneko
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BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials [PDF]
Transformation Groups, 1996 28 pages, AMS TeX; replaced with revised journal version, to appear in Transf ...
Andreĭ Okounkov
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Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials [PDF]
Journal of Scientific Computing, 2021 29 pages, 24 ...
Lueling Jia, Huiyuan Li, Zhimin Zhang
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Koornwinder polynomials and affine Hecke algebras [PDF]
International Mathematics Research Notices, 2000 In this paper we derive the bi-orthogonality relations, diagonal term evaluations and evaluation formulas for the non-symmetric Koornwinder polynomials. For the derivation we use certain representations of the (double) affine Hecke algebra which were originally defined by Noumi and Sahi.
Jasper V. Stokman
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Self-dual Koornwinder-Macdonald polynomials [PDF]
Inventiones Mathematicae, 1996 21 pages, AMSLaTeX 1.1 with ...
J. F. van Diejen
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QBD Processes Associated with Jacobi–Koornwinder Bivariate Polynomials and Urn Models [PDF]
Mediterranean Journal of Mathematics, 2023 AbstractWe study a family of quasi-birth-and-death (QBD) processes associated with the so-called first family of Jacobi–Koornwinder bivariate polynomials. These polynomials are orthogonal on a bounded region typically known as the swallow tail. We will explicitly compute the coefficients of the three-term recurrence relations generated by these QBD ...
Lidia Fernández +1 more
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Bivariate Koornwinder–Sobolev Orthogonal Polynomials [PDF]
Mediterranean Journal of Mathematics, 2021 AbstractThe so-called Koornwinder bivariate orthogonal polynomials are generated by means of a non-trivial procedure involving two families of univariate orthogonal polynomials and a function $$\rho (t)$$ ρ ( t ) such ...
Misael E. Marriaga +2 more
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