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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 040, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.040 (Mi sigma598) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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

Tom H. Koornwinder

Korteweg--de Vries Institute, University of Amsterdam, P.O. Box 94248, 1090 GE Amsterdam, The Netherlands
Full-text PDF (319 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2011.040
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.
Keywords: Askey scheme; $q$-Askey scheme; $q$-Racah polynomials; big $q$-Jacobi polynomials; multi-parameter limit.
Received: March 1, 2011; Published online April 21, 2011
Bibliographic databases:
Document Type: Article
MSC: 33D45; 33C45
Language: English
Citation: Tom H. Koornwinder, “On the Limit from $q$-Racah Polynomials to Big $q$-Jacobi Polynomials”, SIGMA, 7 (2011), 040, 8 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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