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A Characterization of the Continuous q-Ultraspherical Polynomials
Published online by Cambridge University Press: 20 November 2018
Abstract
In his Ph.D. thesis Allaway found all polynomials that can be represented as
and a0bn≠0. We solve the essentially equivalent problem of finding all symmetric polynomials with when are orthogonal with respect to dα(x). The polynomials are the continuous q-ultraspherical polynomials and some of their limiting cases.
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- Copyright © Canadian Mathematical Society 1984
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