Some Systems of Multivariable Orthogonal q-Racah polynomials

Details Some Systems of Multivariable Orthogonal q-Racah polynomials Some Systems of Multivariable Orthogonal q-Racah polynomials

2004-10-10

arxiv.org/abs/math/0410250v1

Mathematics

Classical Analysis and ODEs

15 pages

Scientific paper

In 1991 Tratnik derived two systems of multivariable orthogonal Racah
polynomials and considered their limit cases. q-Extensions of these systems are
derived, yielding systems of multivariable orthogonal q-Racah polynomials, from
which systems of multivariable orthogonal q-Hahn, dual q-Hahn, q-Krawtchouk,
q-Meixner, and q-Charlier polynomials follow as special or limit cases.

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