Some systems of multivariable orthogonal q-Racah polynomials

By G. Gasper, Mizan Rahman. 2004

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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.

Subfields: Algebra and Number Theory, Applied Mathematics, Computational Theory and Mathematics

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