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- W2325509570 abstract "Abstract We characterize the continuous q -ultraspherical polynomials in terms of the special form of the coefficients in the expansion D qPn ( x ) in the basis { P n ( x )}, D q being the Askey-Wilson divided difference operator. The polynomials are assumed to be symmetric, and the connection coefficients are multiples of the reciprocal of the square of the L 2 norm of the polynomials. A similar characterization is given for the discrete q -ultraspherical polynomials. A new proof of the evaluation of the connection coefficients for big q -Jacobi polynomials is given." @default.
- W2325509570 created "2016-06-24" @default.
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- W2325509570 date "2011-02-01" @default.
- W2325509570 modified "2023-09-28" @default.
- W2325509570 title "Characterizations of Continuous and Discrete q-Ultraspherical Polynomials" @default.
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- W2325509570 doi "https://doi.org/10.4153/cjm-2010-080-0" @default.
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