Results 51 to 60 of about 2,040 (118)
Skew Howe duality and limit shapes of Young diagrams
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We consider the skew Howe duality for the action of certain dual pairs of Lie groups (G1,G2)$(G_1, G_2)$ on the exterior algebra ⋀(Cn⊗Ck)$\bigwedge (\mathbb {C}^{n} \otimes \mathbb {C}^{k})$ as a probability measure on Young diagrams by the decomposition into the sum of irreducible representations. We prove a combinatorial version of this skew
Anton Nazarov +2 more
wiley +1 more source
BC_n-symmetric polynomials [PDF]
, 2004 We consider two important families of BC_n-symmetric polynomials, namely Okounkov's interpolation polynomials and Koornwinder's orthogonal polynomials.
Rains, Eric M.
core +1 more source
, 2014 We prove two identities of Hall-Littlewood polynomials, which appeared recently in a paper by two of the authors. We also conjecture, and in some cases prove, new identities which relate infinite sums of symmetric polynomials and partition functions ...
Betea, D., Wheeler, M., Zinn-Justin, P.
core +1 more source
Properties of some families of hypergeometric orthogonal polynomials in several variables
, 1996 Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of ...
van Diejen, Jan F.
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On Koornwinder classical orthogonal polynomials in two variables
Journal of Computational and Applied Mathematics, 2012 The analogue of Jacobi polynomials in two-variables was introduced by Koornwinder, who described seven classes of orthogonal polynomials from Jacobi weights. Koornwinder also considered these seven classes as two-variables analogues of the classical orthogonal polynomials in one variable.
Fernández, Lidia +2 more
openaire +1 more source
Elliptic hypergeometric functions associated with root systems
, 2019 We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two form in essence an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integeral ...
Rosengren, Hjalmar, Warnaar, S. Ole
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QBD processes associated with Jacobi-Koornwinder bivariate polynomials and urn models [PDF]
, 2022 Lidia Fernández +1 more
openalex +1 more source
Non-symmetric Jacobi and Wilson type polynomials
, 2005 Consider a root system of type $BC_1$ on the real line $\mathbb R$ with general positive multiplicities. The Cherednik-Opdam transform defines a unitary operator from an $L^2$-space on $\mathbb R$ to a $L^2$-space of $\mathbb C^2$-valued functions on ...
Peng, Lizhong, Zhang, Genkai
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Orthogonal polynomial kernels and canonical correlations for Dirichlet measures
, 2013 We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coefficients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Griffiths, Robert C., Spanò, Dario
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Rhombic staircase tableaux and Koornwinder polynomials [PDF]
, 2023 Sylvie Corteel +2 more
openalex +1 more source