A difference equation and Hahn polynomials in two variables

DOI10.2140/pjm.1981.92.57zbMath0459.33007OpenAlexW2010625115MaRDI QIDQ1152011

Charles F. Dunkl

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.92.57

zbMATH Keywords

representation theorydifference equationHahn polynomials in two variablesorthogonal bases for space of solutionsRacah's 6-j symbolsWilson's four-parameter orthogonal polynomials

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05) General theory of difference equations (39A05)

Related Items (8)

Orthogonal Polynomials in Two Variables of q-Hahn and q-Jacobi Type ⋮ Harmonic analysis of the space of \(S_a\times S_b\times S_c\)-invariant vectors in the irreducible representations of the symmetric group. ⋮ Realisations of Racah algebras using Jacobi operators and convolution identities ⋮ Connections between two-variable Bernstein and Jacobi polynomials on the triangle ⋮ Connection coefficients for classical orthogonal polynomials of several variables ⋮ The tree method for multidimensional \(q\)-Hahn and \(q\)-Racah polynomials ⋮ Hahn polynomials on polyhedra and quantum integrability ⋮ Multivariable Wilson polynomials

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