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Artículo
Special volume on orthogonal polynomials and mathematical physics
(Kent State University, 2006)
Artículo
Q-classical orthogonal polynomials: a very classical approach
(Kent State University, 1999)
The q-classical orthogonal polynomials defined by Hahn satisfy a Sturm-Liouville type equation in geometric differences. Working with this, we classify the q−classical polynomials in twelve families according to the zeros ...
Artículo
On the q-polynomials: a distributional study
(Elsevier, 2001-10-15)
In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From the distributional q-Pearson equation we will deduce many of their properties such as the three-term ...
Artículo
On the modification of classical orthogonal polynomials: the symmetric case
(Springer, 1998-03)
We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the origin. Some properties of the resulting polynomials are studied: three-term recurrence relation, ...
Artículo
A generalization of the classical Laguerre polynomials
(Springer, 1995)
We consider a modi cation of the gamma distribution by adding a discrete measure supported in the point x = 0. For large n we analyze the existence of orthogonal polynomials with respect to such a distribution. Finally we ...
Artículo
On the "Favard theorem" and its extensions
(Elsevier, 2001-01-15)
In this paper we present a survey on the "Favard theorem" and its extensions.
Artículo
The limit relations between generalized orthogonal polynomials
(Elsevier, 1997-09)
We consider the different limit transitions for modifications of the classical polynomials obtained by the addition of one or two point masses at the ends of the interval of orthogonality. The connections between Jacobi, ...
Artículo
WKB approximation and Krall-Type orthogonal polynomials
(Springer, 1998-10)
We give an uni ed approach to the Krall-type polynomials orthogonal with respect to a positive measure consisting of an absolutely continuous one \perturbed" by the addition of one or more delta Dirac functions. Some ...
Artículo
Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions
(Elsevier, 2004)
We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures. We analyze the existence of the corresponding orthogonal polynomial sequences with respect to such linear ...
Artículo
On a modification of the Jacobi linear functional asymptotic properties and zeros of the corresponding orthogonal polynomials
(Springer, 2002-04)
The paper deals with orthogonal polynomials in the case where the orthogonality condition is related to semiclassical functionals. The polynomials that we discuss are a generalization of Jacobi polynomials and Jacobi-type ...