Multivariable biorthogonal continuous--discrete Wilson and Racah polynomials

Journal Article · Sun Jul 01 04:00:00 EDT 1990 · Journal of Mathematical Physics (New York); (USA)

DOI:https://doi.org/10.1063/1.528697· OSTI ID:6802886

Tratnik, M V ^[1]

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1. Institute for Mathematics and its Applications, University of Minnesota, 514 Vincent Hall, 206 Church Street S. E., Minneapolis, Minnesota 55455 (USA)

Several families of multivariable, biorthogonal, partly continuous and partly discrete, Wilson polynomials are presented. These yield limit cases that are purely continuous in some of the variables and purely discrete in the others, or purely discrete in all the variables. The latter are referred to as the multivariable biorthogonal Racah polynomials. Interesting further limit cases include the multivariable biorthogonal Hahn and dual Hahn polynomials.

• OSTI ID: 6802886
• Journal Information: Journal of Mathematical Physics (New York); (USA), Journal Name: Journal of Mathematical Physics (New York); (USA) Vol. 31:7; ISSN 0022-2488; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

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