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On Some Limit Cases of Askey–Wilson Polynomials

✍ Scribed by J.V. Stokman; T.H. Koornwinder

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
329 KB
Volume
95
Category
Article
ISSN
0021-9045

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✦ Synopsis

We show that limit transitions from Askey Wilson polynomials to q-Racah, little and big q-Jacobi polynomials can be made rigorous on the level of their orthogonality measures in a suitable weak sense. This allows us to derive the orthogonality relations and norm evaluations for the q-Racah polynomials, little and big q-Jacobi polynomials by taking limits in the orthogonality relations and norm evaluations for the Askey Wilson polynomials.

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