Abstract
We show that limit transitions from Askey–Wilson polynomials toq-Racah, little and bigq-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 theq-Racah polynomials, little and bigq-Jacobi polynomials by taking limits in the orthogonality relations and norm evaluations for the Askey–Wilson polynomials.
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