Results 81 to 90 of about 2,254 (120)
Contributions to tensor models, Hurwitz numbers and Macdonald-Koornwinder polynomials
, 2017 Viêt Anh Nguyên
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BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
, 1996 Andreĭ Okounkov
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Asymmetric Simple Exclusion Process with open boundaries and Koornwinder polynomials
, 2015 Luigi Cantini
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Vanishing Integrals of Macdonald and Koornwinder polynomials
Transformation Groups, 2007 When one expands a Schur function in terms of the irreducible characters of the symplectic (or orthogonal) group, the coefficient of the trivial character is 0 unless the indexing partition has an appropriate form. A number of q,t-analogues of this fact were conjectured in [10]; the present paper proves most of those conjectures, as well as some new ...
Eric M. Rains, Monica Vazirani
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A duality of MacDonald-Koornwinder polynomials and its application to integral representations
Duke Mathematical Journal, 2001 We give a formula representing a duality of Macdonald-Koornwinder polynomials. Using this formula, an integral representation of Macdonald-Koornwinder polynomials is derived, a special case of which is the conjectural formula stated in [22]. We also present the corresponding formula to Heckman and Opdam's Jacobi polynomials of type $BC_m$.
Katsuhisa Mimachi
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Generalized Jacobi–Koornwinder’s-type Bernstein polynomials bases transformations
International Journal of Mathematics, 2016This paper provides an explicit closed form of generalized Jacobi–Koornwinder’s polynomials of degree [Formula: see text] in terms of the Bernstein basis of fixed degree [Formula: see text] Moreover, explicit forms of generalized Jacobi–Koornwinder’s type and Bernstein polynomials bases transformations are considered.
Maalee AlMheidat, Mohammad A. AlQudah
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Characterization of generalized Jacobi Koornwinder’s type polynomials
AIP Conference Proceedings, 2017This paper provides an explicit closed form of generalized Jacobi Koornwinder’s polynomials of degree r ≤ n in terms of the Bernstein basis of fixed degree n.This paper provides an explicit closed form of generalized Jacobi Koornwinder’s polynomials of degree r ≤ n in terms of the Bernstein basis of fixed degree n.
Maalee AlMheidat, Mohammad A. AlQudah
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Elliptic Analogues of the Macdonald and Koornwinder Polynomials
Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011Perhaps the nicest multivariate orthogonal polynomials are the Macdonald and Koornwinder polynomials, respectively 2-parameter deformations of Schur functions and 6-parameter deformations of orthogonal and symplectic characters, satisfying a trio of nice properties known as the Macdonald “conjectures”.
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