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A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations
(Springer, 2011-01-01)
We consider the sequence of polynomials {Q (n) } satisfying the L-orthogonality a"(3)[z (-n+m) Q (n) (z)]=0, 0a parts per thousand currency signma parts per thousand currency signn-1, with respect to a linear functional ...
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 ...
Polynomials generated by a three term recurrence relation: bounds for complex zeros
(Elsevier B.V., 2014)
On perturbed Szego recurrences
(Elsevier B.V., 2014-03-15)
The purpose of the present contribution is to investigate the effects of finite modifications of Verblunsky coefficients on Szego recurrences. More precisely, we study the structural relations and the corresponding C-functions ...
A class of orthogonal functions given by a three term recurrence formula
(2016-01-01)
We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of ...
On perturbed Szego recurrences
(Elsevier B.V., 2014)
A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations
(Springer, 2011-01-01)
We consider the sequence of polynomials {Q (n) } satisfying the L-orthogonality a"(3)[z (-n+m) Q (n) (z)]=0, 0a parts per thousand currency signma parts per thousand currency signn-1, with respect to a linear functional ...
On perturbed Szego recurrences
(Elsevier B.V., 2014)
Rational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadrature
(Springer, 2009-03-01)
The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which ...