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Szego polynomials: some relations to L-orthogonal and orthogonal polynomials
(Elsevier B.V., 2014)
Extended Relativistic Toda Lattice, L-Orthogonal Polynomials and Associated Lax Pair
(2018-01-01)
When a measure Ψ(x) on the real line is subjected to the modification dΨ( t )(x) = e− t xdΨ(x) , then the coefficients of the recurrence relation of the orthogonal polynomials in x with respect to the measure Ψ( t )(x) are ...
Polynomial coefficients for functions of power series limit, an analogy with Pascal's TriangleCoeficientes polinomiales para funciones límite de series de potencias, una analogía con el triangulo de pascal
(Pereira : Universidad Tecnológica de PereiraFacultad de Ciencias Básicas, 2011)
Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas
(2016-11-01)
When a nontrivial measure μ on the unit circle satisfies the symmetry dμ(ei(2π-θ))=-dμ(eiθ) then the associated orthogonal polynomials on the unit circle, say Φn, are all real. In this case, in 1986, Delsarte and Genin ...
Polynomials generated by a three term recurrence relation: bounds for complex zeros
(Elsevier B.V., 2005-03-01)
This paper deals with the zeros of polynomials generated by a certain three term recurrence relation. The main objective is to find bounds, in terms of the coefficients of the recurrence relation, for the regions where the ...
A modified least squares method: Approximations on the unit circle and on (−1,1)
(2022-08-15)
The main objective in the present manuscript is to consider approximations of functions defined on the unit circle by Laurent polynomials derived from certain combinations of kernel polynomials of orthogonal polynomials ...
Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure
(2018-01-01)
Given a nontrivial Borel measure μ on the unit circle T{double-struck}, the corresponding reproducing (or Christoffel-Darboux) kernels with one of the variables fixed at z = 1 constitute a family of so-called para-orthogonal ...
On perturbed Szego recurrences
(Elsevier B.V., 2014)
Polinômios de Romanovski-Routh
(Universidade Estadual Paulista (Unesp), 2022-03-29)
Neste trabalho estudamos características, propriedades e aplicações dos polinômios de Romanovski-Routh. Tais polinômios formam uma classe de polinômios ortogonais clássicos, ou seja, são soluções polinomiais de uma equação ...
Summation of coefficients of polynomials on lp-spaces
(Univeristat Autònoma de Barcelona, 2016-07)
We investigate the summability of the coefficients of $m$-homogeneous polynomials and $m$-linear mappings defined on $\ell_{p}$-spaces. In our research we obtain resultson the summability of the coefficients of $m$-linear ...