Commuting difference operators with applications to orthogonal polynomials in several variables

Mathematics – Quantum Algebra

Scientific paper

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5 pages, REVTeX with amssymb

Scientific paper

10.1023/A:1007377231440

Elementary properties of the Koornwinder-Macdonald multivariable Askey-Wilson
polynomials are discussed. Studied are the orthogonality, the difference
equations, the recurrence relations, and the orthonormalization constants for
these polynomials. Essential in our approach are certain commuting difference
operators simultaneously diagonalized by the polynomials.

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