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Mostrando ítems 21-30 de 31
Artículo
On characterizations of classical polynomials
(Elsevier, 2006-11-01)
It is well known that the classical families of Jacobi, Laguerre, Hermite, and Bessel polynomials are characterized as eigenvectors of a second order linear differential operator with polynomial coefficients, Rodrigues ...
Artículo
Polinomios ortogonales: historia y aplicaciones
(Sociedad Española de Matemática Aplicada, 2001)
Artículo
Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
(Institute of Physics, 2005-01-07)
We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. It is shown that in the most cases of q-linear spectrum of the eigenvalues this directly leads to ...
Artículo
On a q-extension of the linear harmonic oscillator with the continuous orthogonality property on R
(Springer, 2005-11)
We discuss a q-analogue of the linear harmonic oscillator in quantum mechanics, based on a q-extension of the classical Hermite polynomials Hn(x), recently introduced by us in [1] R. Alvarez-Nodarse, M. K. Atakishiyeva, ...
Artículo
A characterization of the classical orthogonal discrete and q-polynomials
(Elsevier, 2007-04-01)
In this paper we present a new characterization for the classical discrete and q-classical (discrete) polynomials (in the Hahn's sense).
Artículo
q-Classical polynomials and the q-Askey and Nikiforov-Uvarov tableaus
(Elsevier, 2001-10-15)
In this paper we continue the study of the q-classical (discrete) polynomials (in the Hahn's sense) started in Medem et al. (this issue, Comput. Appl. Math. 135 (2001) 157-196). Here we will compare our scheme with the ...
Artículo
On the Krall-type polynomials
(2004)
Using a general and simple algebraic approach, some results on Krall-type orthogonal polynomials and some of their extensions are obtained.
Artículo
A q-extension of the generalized Hermite polynomials with the continuous orthogonality property on R
(Academic Publications, 2004)
In this paper we study in detail a q-extension of the generalized Hermite polynomials of Szeg˝o. A continuous orthogonality property on R with respect to the positive weight function is established, a q-difference equation ...
Artículo
Limit relations between q-Krall type orthogonal polynomials
(Elsevier, 2006)
In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification of a q-classical linear functional via the addition of one or two mass points. The limit relations ...