On Some Limit Cases of Askey-wilson Polynomials
نویسنده
چکیده
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.
منابع مشابه
Some Systems of Multivariable Orthogonal Askey-wilson Polynomials
X iv :m at h/ 04 10 24 9v 1 [ m at h. C A ] 1 0 O ct 2 00 4 Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials George Gasper* and Mizan Rahman† Abstract In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of multivariable orthogonal Askey-Wilson polynomials ...
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