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

Authors
  • Koornwinder, Tom H.
Type
Published Article
Publication Date
Nov 04, 2011
Submission Date
Nov 25, 2010
Identifiers
DOI: 10.3842/SIGMA.2011.040
Source
arXiv
License
Unknown
External links

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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