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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
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
Jacobi-Sobolev-type orthogonal polynomials: second-order differential equation and zeros
(Elsevier, 1998-04-17)
We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Qn} associated with the inner product 〈p,q〉=∫−11 p(x)q(x)p(x)dx + A1p(1)q(1) + B1p(−1)q(−1) + A2p′(1)q′(1) + B2p′(−1)q′(−1), where p(x) = (1 − ...
Artículo
Some extension of the Bessel-type orthogonal polynomials
(Taylor & Francis, 1998)
We consider the perturbation of the classical Bessel moment functional by the addition of the linear functional M0 (x) + M1 0 (x), where M0 and M1 2 IR. We give necessary and su cient conditions in order for this functional ...
Artículo
On the properties for modifications of classical orthogonal polynomials of discrete variables
(Elsevier, 1995-12-29)
We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass point at x = 0. We obtain the resulting orthogonal polynomials, identify them as hypergeometric functions ...
Artículo
The modification of classical Hahn polynomials of a discrete variable
(Taylor & Francis, 1995)
We consider a modi cation of moment functionals for the Hahn classical polynomials of a discrete variable by adding two mass points at the ends of the interval, i.e., in x = 0 and x = N 1. We obtain the resulting orthogonal ...