Some multivariable orthogonal polynomials of the Askey tableau-discrete families

Journal Article · Sun Sep 01 04:00:00 EDT 1991 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.529158· OSTI ID:5373389

Tratnik, M V ^[1]

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1. Los Alamos National Lab., NM (United States). Center for Nonlinear Studies Los Alamos National Lab., NM (United States). Theoretical Div.

A multivariable generalization is presented for all the discrete families of the Askey tableau. This significantly extends the multivariable Hahn polynomials introduced by Karlin and McGregor. The latter are recovered as a limit case from a family of multivariable Racah polynomials.

• OSTI ID: 5373389
• Journal Information: Journal of Mathematical Physics (New York); (United States), Journal Name: Journal of Mathematical Physics (New York); (United States) Vol. 32:9; ISSN JMAPA; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FUNCTIONS
ORTHOGONAL TRANSFORMATIONS
POLYNOMIALS
RACAH COEFFICIENTS
TRANSFORMATIONS