Geodesic
On the Limit from $q$-Racah Polynomials to Big $q$-Jacobi Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 7 (2011) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Tom H. Koornwinder},
     title = {On the {Limit} from $q${-Racah} {Polynomials} to {Big} $q${-Jacobi} {Polynomials}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a39/}
}
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Tom H. Koornwinder. On the Limit from $q$-Racah Polynomials to Big $q$-Jacobi Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a39/

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