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Symmetric and nonsymmetric Koornwinder polynomials in the q → 0 limit
Vidya Venkateswaran
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Journal of Scientific Computing, 2021
In this paper, we propose a sparse spectral-Galerkin approximation scheme for solving the second-order partial differential equations on an arbitrary tetrahedron.
Lueling Jia, Hui-yuan Li, Zhimin Zhang
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In this paper, we propose a sparse spectral-Galerkin approximation scheme for solving the second-order partial differential equations on an arbitrary tetrahedron.
Lueling Jia, Hui-yuan Li, Zhimin Zhang
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Specializing Koornwinder polynomials to Macdonald polynomials of type B, C, D and BC
Journal of Algebraic Combinatorics, 2021We study the specializations of parameters in Koornwinder polynomials to obtain Macdonald polynomials associated to the subsystems of the affine root system of type $$(C_n^\vee ,C_n)$$ ( C n ∨ , C n ) in the sense of Macdonald (Affine Hecke algebras and ...
Kohei Yamaguchi, S. Yanagida
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Symmetric and nonsymmetric Koornwinder polynomials in the $$q \rightarrow 0$$ q → 0 limit
Koornwinder polynomials are a 6-parameter $$BC_{n}$$BCn-symmetric family of Laurent polynomials indexed by partitions, from which Macdonald polynomials can be recovered in suitable limits of the parameters.
Vidya Venkateswaran
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A Littlewood–Richardson rule for Koornwinder polynomials
Journal of Algebraic Combinatorics, 2020Koornwinder polynomials are q-orthogonal polynomials equipped with extra five parameters and the BCn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Kohei Yamaguchi
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Specializations of nonsymmetric Macdonald–Koornwinder polynomials
Journal of Algebraic Combinatorics, 2017The purpose of this article is to work out the details of the Ram–Yip formula for nonsymmetric Macdonald–Koornwinder polynomials for the double affine Hecke algebras of not-necessarily reduced affine root systems. It is shown that the $$t\rightarrow 0$$t→
Daniel Orr, M. Shimozono
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Nonsymmetric Koornwinder Polynomials and Duality [PDF]
In the fundamental work of Lusztig [L] on affine Hecke algebras, a special role is played by the root system of type Cn. The affine Hecke algebra is a deformation of the group algebra of an affine Weyl group which usually depends on as many parameters as
Siddhartha Sahi
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A duality of MacDonald-Koornwinder polynomials and its application to integral representations
Katsuhisa Mimachi
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