Hahn polynomials for hypergeometric distribution

DOI10.1016/j.aam.2022.102364OpenAlexW3114909795MaRDI QIDQ2672959

Plamen Iliev, Yuan Xu

Publication date: 13 June 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12168

zbMATH Keywords

factorizationsseveral variablesHahn polynomialshypergeometric distribution

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other hypergeometric functions and integrals in several variables (33C70) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

Representations of the rank two Racah algebra and orthogonal multivariate polynomials

Cites Work

• Connection coefficients for classical orthogonal polynomials of several variables
• Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere
• Differential equations in the spectral parameter
• Discrete orthogonal polynomials and difference equations of several variables
• Bispectrality of multivariable Racah-Wilson polynomials
• Algebraic properties of a family of Jacobi polynomials
• The generic quantum superintegrable system on the sphere and Racah operators
• Hahn polynomials on polyhedra and quantum integrability
• Hahn, Jacobi, and Krawtchouk polynomials of several variables
• The irreducibility of the Bessel polynomials
• A higher rank Racah algebra and the $\mathbb{Z}_2^n$ Laplace–Dunkl operator
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