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Mostrando ítems 11-20 de 22
On a moment problem associated with Chebyshev polynomials
(Elsevier B.V., 2012-05-15)
Given a sequence {mu(n)}(n-0)(infinity) of real numbers, we find necessary and sufficient conditions for the existence and uniqueness of a distribution function phi on (1, infinity), such thatmu(n) = integral(infinity)(1) ...
Zeros of a family of hypergeometric para-orthogonal polynomials on the unit circle
(2013-08-01)
Para-orthogonal polynomials derived from orthogonal polynomials on the unit circle are known to have all their zeros on the unit circle. In this note we study the zeros of a family of hypergeometric para-orthogonal ...
On perturbed Szego recurrences
(Elsevier B.V., 2014)
Schur-SzegA composition of entire functions
(Springer, 2012-07-01)
For any pair of algebraic polynomials A(x) = Sigma(n)(k=0) ((n)(k))a(k)x(k) and B(x) = Sigma(n)(k=0) ((n)(k))b(k)x(k), their Schur-Szego composition is defined by (A (*)(n) B)(x) = Sigma(n)(k=0) ((n)(k))a(k)b(k)x(k). ...
A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
(Sociedade Brasileira de Física, 2003-03-01)
We discuss some results from q-series that can account for the foundations for the introduction of orthogonal polynomials on the circle and on the line, namely the Rogers-Szegö and Stieltjes-Wigert polynomials. These ...
Nonnegative trigonometric polynomials
(2002-12-01)
An extremal problem for the coefficients of sine polynomials, which are nonnegative in [0,π] , posed and discussed by Rogosinski and Szego is under consideration. An analog of the Fejér-Riesz representation of nonnegative ...
Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
(Rocky Mt Math Consortium, 2014)
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 ...