Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 241-249

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DOI

Nonnegative product linearization of the Askey-Wilson polynomials is shown for a wide range of parameters. As a corollary we obtain Rahman's result on the continuous q-Jacobi polynomials with α ≥ β > — 1 and α + β + 1 ≥ 0.
DOI : 10.4153/CMB-1996-031-x
Mots-clés : 33D45, orthogonal polynomials, Askey-Wilson polynomials, nonnegative linearization
Szwarc, Ryszard. Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 241-249. doi: 10.4153/CMB-1996-031-x
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     title = {Nonnegative {Linearization} and {Quadratic} {Transformation} of {Askey-Wilson} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {241--249},
     year = {1996},
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     doi = {10.4153/CMB-1996-031-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-031-x/}
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