Hahn, Jacobi, and Krawtchouk polynomials of several variables

DOI10.1016/j.jat.2014.03.013zbMath1317.33012arXiv1309.1510OpenAlexW2052308123MaRDI QIDQ2343161

Yuan Xu

Publication date: 4 May 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1510

zbMATH Keywords

reproducing kernelJacobi polynomialPoisson kernelsKrawtchouk polynomialHahn polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (7)

Lancaster distributions and Markov chains with multivariate Poisson-Charlier, Meixner and Hermite-Chebycheff polynomial eigenfunctions ⋮ Hahn polynomials for hypergeometric distribution ⋮ Gaudin model for the multinomial distribution ⋮ Realisations of Racah algebras using Jacobi operators and convolution identities ⋮ Reproducing kernel orthogonal polynomials on the multinomial distribution ⋮ Connection coefficients for classical orthogonal polynomials of several variables ⋮ Hahn polynomials on polyhedra and quantum integrability

Cites Work

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• An introduction to multivariate Krawtchouk polynomials and their applications
• Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials
• Discrete orthogonal polynomials and difference equations of several variables
• Rates of convergence of some multivariate Markov chains with polynomial eigenfunctions
• Monomial orthogonal polynomials of several variables
• Orthogonal polynomial kernels and canonical correlations for Dirichlet measures
• On the Bernstein--Bézier form of Jacobi polynomials on a simplex
• Nonnegativity of a discrete Poisson kernel for the Hahn polynomials
• Families of Orthogonal and Biorthogonal Polynomials on theN-Sphere
• Composition Markov chains of multinomial type
• Some multivariable orthogonal polynomials of the Askey tableau-discrete families
• A transition density expansion for a multi-allele diffusion model
• Summability of Fourier orthogonal series for Jacobi weight functions on the simplex in ℝ^{𝕕}
• Multivariable Orthogonal Polynomials and Coupling Coefficients for Discrete Series Representations
• Generalized Hypergeometric Function of Unit Argument
• O<scp>rthogonal</scp> P<scp>olynomials on the</scp> M<scp>ultinomial</scp> D<scp>istribution</scp>

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