Multivariable biorthogonal Hahn polynomials

DOI10.1063/1.528430zbMath0661.33010OpenAlexW2024096308MaRDI QIDQ3810131

M. V. Tratnik

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528430

zbMATH Keywords

discrete Hahn polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Some multivariable orthogonal polynomials of the Askey tableau—Continuous families, Some multivariable orthogonal polynomials of the Askey tableau-discrete families, Generating relations for Tratnik’s multivariable biorthogonal continuous Hahn polynomials, Multivariable Meixner, Krawtchouk, and Meixner–Pollaczek polynomials, Multivariable biorthogonal continuous–discrete Wilson and Racah polynomials, Discrete orthogonal polynomials and difference equations of several variables, Some families of hypergeometric generating functions associated with multiple series transformations., On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions, Some Finite Summation Formulas Involving Multivariable Hypergeometric Polynomials, Multivariable Wilson polynomials

Cites Work

• Nonnegativity of a discrete Poisson kernel for the Hahn polynomials
• Conformally invariant operator-product expansions of any number of operators of arbitrary spin
• The Hahn and Meixner polynomials of an imaginary argument and some of their applications
• Continuous Hahn polynomials
• Multivariable continuous Hahn polynomials
• The Zeros of the Hahn Polynomials
• On the Hahn Polynomials
• An Integral Representation and Some Summation Formulas for the Hahn Polynomials
• Some Summation Theorems on the Hahn Polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On the Finite Difference Analogue of Rodrigues' Formula