On limit relations between some families of bivariate hypergeometric orthogonal polynomials

DOI10.1088/1751-8113/46/3/035202zbMath1272.33016OpenAlexW2032038447MaRDI QIDQ4920378

IvÁn Area, Eduardo Paciência Godoy

Publication date: 17 May 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/46/3/035202

zbMATH Keywords

Hermite polynomialsAppell polynomialsHahn polynomialslimit transitionsbivariate Kravchukmultinomial probability lawmultivariate Gaussian density

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other hypergeometric functions and integrals in several variables (33C70) Partial difference equations (39A14)

Related Items (7)

Monic bivariate polynomials on quadratic and \(q\)-quadratic lattices ⋮ On moments of hypergeometric bivariate weight functions ⋮ Zero sets of bivariate Hermite polynomials ⋮ Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials ⋮ Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions ⋮ Hypergeometric Multivariate Orthogonal Polynomials ⋮ Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm

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