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arXiv · 1011.5585

On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials

Tom H. Koornwinder
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Abstract

A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials. Also the limits from Askey-Wilson to Wilson polynomials and from q-Racah to Racah polynomials are given in a more conceptual way.

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BibTeXRIS

Tom H. Koornwinder. 2010-11-25. On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials. https://doi.org/10.3842/sigma.2011.040

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