Geodesic
A Characterization of the Continuous q-Ultraspherical Polynomials
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 329-336

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In his Ph.D. thesis Allaway found all polynomials that can be represented as and a 0 b n≠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.
DOI : 10.4153/CMB-1984-050-x
Mots-clés : 33A65, 42A52 
Al-Salam, Waleed; Allaway, WM. R.; Askey, Richard. A Characterization of the Continuous q-Ultraspherical Polynomials. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 329-336. doi: 10.4153/CMB-1984-050-x
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     title = {A {Characterization} of the {Continuous} {q-Ultraspherical} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {329--336},
     year = {1984},
     volume = {27},
     number = {3},
     doi = {10.4153/CMB-1984-050-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-050-x/}
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