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

Open Access
Authors
Publication date 2011
Journal Symmetry, Integrability and Geometry : Methods and Applications (SIGMA)
Article number 040
Volume | Issue number 7
Number of pages 8
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Language English
Published at https://doi.org/10.3842/SIGMA.2011.040
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