Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 241-249
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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.
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
@article{10_4153_CMB_1996_031_x,
author = {Szwarc, Ryszard},
title = {Nonnegative {Linearization} and {Quadratic} {Transformation} of {Askey-Wilson} {Polynomials}},
journal = {Canadian mathematical bulletin},
pages = {241--249},
year = {1996},
volume = {39},
number = {2},
doi = {10.4153/CMB-1996-031-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-031-x/}
}
TY - JOUR AU - Szwarc, Ryszard TI - Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials JO - Canadian mathematical bulletin PY - 1996 SP - 241 EP - 249 VL - 39 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-031-x/ DO - 10.4153/CMB-1996-031-x ID - 10_4153_CMB_1996_031_x ER -
%0 Journal Article %A Szwarc, Ryszard %T Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials %J Canadian mathematical bulletin %D 1996 %P 241-249 %V 39 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-031-x/ %R 10.4153/CMB-1996-031-x %F 10_4153_CMB_1996_031_x
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