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An algebraic approach to Macdonald–Koornwinder polynomials: Rodrigues-type formula and inner product identity

Journal of Mathematical Physics, 2001
We study Macdonald–Koornwinder polynomials in the context of double affine Hecke algebras. Nonsymmetric Macdonald–Koornwinder polynomials are constructed by use of raising operators provided by a representation theory of the double affine Hecke algebra associated with A2l(2)-type affine root system.
Nishino, Akinori, Komori, Yasushi
openaire   +1 more source

Symmetric and nonsymmetric Koornwinder polynomials in the \(q \to 0\) limit

2015
Koornwinder polynomials, orthogonal polynomials, symmetric functions are some of the well known key words that are included in the present paper, which analyses the problem in two parts or sections. Macdonald 2000/2001 introduced a family of multivariate q-orthogonal polynomials associated with a root system. It is known, see reference [\textit{I.
openaire   +2 more sources

Quantum Interference, Graphs, Walks, and Polynomials

Chemical Reviews, 2018
Yuta Tsuji   +2 more
exaly  

Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs

Journal of Business and Economic Statistics, 2019
Andrew Gelman, Guido Imbens
exaly  

Global Optimization with Polynomials and the Problem of Moments

SIAM Journal on Optimization, 2001
Jean Bernard Lasserre
exaly  

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy

Journal of Computational Physics, 2016
Natasha Flyer   +2 more
exaly  

Recurrence relation for generalized shifted Chebyshev Koornwinder’s type polynomials

AIP Conference Proceedings, 2020
Mohammad A. Alqudah, Maalee N. Almheidat
openaire   +1 more source

Model Fractional Quantum Hall States and Jack Polynomials

Physical Review Letters, 2008
B Andrei Bernevig, Duncan Haldane
exaly  

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