Results 61 to 70 of about 435,489 (102)

Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials

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
semanticscholar   +2 more sources

Specializing Koornwinder polynomials to Macdonald polynomials of type B, C, D and BC

Journal of Algebraic Combinatorics, 2021
We 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
semanticscholar   +1 more source

Symmetric and nonsymmetric Koornwinder polynomials in the $$q \rightarrow 0$$ q → 0 limit

open access: closedJournal of Algebraic Combinatorics, 2015
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
semanticscholar   +3 more sources

A Littlewood–Richardson rule for Koornwinder polynomials

Journal of Algebraic Combinatorics, 2020
Koornwinder 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
semanticscholar   +1 more source

Specializations of nonsymmetric Macdonald–Koornwinder polynomials

Journal of Algebraic Combinatorics, 2017
The 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
semanticscholar   +2 more sources

Nonsymmetric Koornwinder Polynomials and Duality [PDF]

open access: closed, 1999
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
openalex   +2 more sources

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