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The Wigner function associated with the Rogers-Szego polynomials
(Iop Publishing Ltd, 2004-12-17)
A Wigner function associated with the Rogers-Szego polynomials is proposed and its properties are discussed. It is shown that from such a Wigner function it is possible to obtain well-behaved probability distribution ...
Orthogonal polynomials associated with complementary chain sequences
(2016-07-27)
Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary ...
Orthogonal polynomials on the unit circle and chain sequences
(2013-09-01)
Szego{double acute} has shown that real orthogonal polynomials on the unit circle can be mapped to orthogonal polynomials on the interval [-1,1] by the transformation 2x=z+z-1. In the 80's and 90's Delsarte and Genin showed ...
Orthogonal polynomials on the unit circle and chain sequences
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2013)
Inequalities For Zeros Of Jacobi Polynomials Via Sturm’s Theorem: Gautschi’s Conjectures
(Kluwer Academic Publishers, 2014)