Results 21 to 30 of about 435,489 (102)

Bivariate Koornwinder–Sobolev Orthogonal Polynomials [PDF]

Mediterranean Journal of Mathematics, 2021
The 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 ρ(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Misael E. Marriaga, Teresa E. Pérez, Miguel A. Piñar   +2 more
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Asymmetric Simple Exclusion Process with Open Boundaries and Koornwinder Polynomials [PDF]

Annales de l'Institute Henri Poincare. Physique theorique, 2017
In this paper, we analyze the steady state of the asymmetric simple exclusion process with open boundaries and second class particles by deforming it through the introduction of spectral parameters.
Luigi Cantini
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Minimal cubature rules and Koornwinder polynomials [PDF]

Indagationes mathematicae
Yuan Xu
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vector valued spherical functions and macdonald–koornwinder polynomials [PDF]

Compositio Mathematica, 2005
we interpret the five-parameter family of macdonald–koornwinder polynomials as vector valued spherical functions on quantum grassmannians.
Alexei Oblomkov, Jasper V. Stokman
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c-Functions and Koornwinder Polynomials

Quarterly Journal of Mathematics
This paper develops the theory of Macdonald–Koornwinder polynomials in parallel analogy with the work done by us in 2024 for the $GL_n$ case [c-functions and Macdonald polynomials, J. Algebra 655 (2024), 163–222]. In the context of the type $(C^\vee _n,
Laura Colmenarejo, Arun Ram
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Some transformation formulas associated with Askey-Wilson polynomials and Lassalle's formulas for Macdonald-Koornwinder polynomials [PDF]

, 2014
We present a fourfold series expansion representing the Askey-Wilson polynomials. To obtain the result, a sequential use is made of several summation and transformation formulas for the basic hypergeometric series, including the Verma's q-extension of ...
A. Hoshino, M. Noumi, J. Shiraishi
semanticscholar   +1 more source

Macdonald–Koornwinder Polynomials [PDF]

Encyclopedia of Special Functions: The Askey-Bateman Project, 2011
An overview of the basic results on Macdonald(-Koornwinder) polynomials and double affine Hecke algebras is given. We develop the theory in such a way that it naturally encompasses all known cases.
J. Stokman
semanticscholar   +1 more source

BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials [PDF]

, 1996
We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
A. Okounkov
semanticscholar   +1 more source

Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

Symmetry, Integrability and Geometry: Methods and Applications, 2009
A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and ...
Yasushi Komori, Masatoshi Noumi, Jun'ichi Shiraishi   +2 more
doaj   +1 more source

The Orthogonal Riesz Fractional Derivative

Axioms
The aim of this paper is to extend the concept of the orthogonal derivative to provide a new integral representation of the fractional Riesz derivative. Specifically, we investigate the orthogonal derivative associated with Gegenbauer polynomials Cn(ν)(x)
Fethi Bouzeffour
doaj   +1 more source