Results 31 to 40 of about 2,254 (120)
Specializations of nonsymmetric Macdonald-Koornwinder polynomials [PDF]
This work records 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=0 equal-parameter specialization of nonsymmetric Macdonald polynomials admits an explicit combinatorial formula in terms of quantum alcove ...
Daniel L. Orr, Mark Shimozono
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Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials [PDF]
29 pages, 24 ...
Lueling Jia, Huiyuan Li, Zhimin Zhang
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Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP [PDF]
31 ...
Caley Finn, Matthieu Vanicat
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Koornwinder polynomials and the
30 pages; corrected some minor mistakes immediately before and after Def. 3.6. appears in Journal of Approximation Theory (2014)
Jasper V. Stokman, Bart Vlaar
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On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials [PDF]
Koornwinder’s generalized Laguerre polynomials { L n α , N ( x ) } n = 0 ∞ \left \{ {L_n^{\alpha ,N}
J. Koekoek, Roelof Koekoek
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A Littlewood–Richardson rule for Koornwinder polynomials [PDF]
Kohei Yamaguchi
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A review of multivariate orthogonal polynomials
This paper contains a brief review of orthogonal polynomials in two and several variables. It supplements the Koornwinder survey [40]. Several recently discovered systems of orthogonal polynomials have been treated in this work.
Mourad E.H. Ismail, Ruiming Zhang
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Representations for the parameter derivatives of some Koornwinder polynomials
In 1975, Koornwinder gave a method to construct orthogonal polynomials in two variables using the classical Jacobi polynomials. In [5], the authors introduced some new examples of Koornwinder polynomials obtained from the Koornwinder construction (see also [10]).
Rabıa Aktaş
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The Fractional Orthogonal Derivative
This paper builds on the notion of the so-called orthogonal derivative, where an n-th order derivative is approximated by an integral involving an orthogonal polynomial of degree n.
Enno Diekema
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Quadratic transformations for orthogonal polynomials in one and two variables [PDF]
We discuss quadratic transformations for orthogonal polynomials in one and two variables. In the one-variable case we list many (or all) quadratic transformations between families in the Askey scheme or $q$-Askey scheme. In the two-variable case we focus,
Koornwinder, Tom H.
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