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Mostrando ítems 41-50 de 63
Artículo
Polinomios ortogonales: historia y aplicaciones
(Sociedad Española de Matemática Aplicada, 2001)
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
À la carte recurrence relations for continuous and discrete hypergeometric functions
(Sociedad Española de Matemática Aplicada, 2011-09)
We show how, using the constructive approach for special functions introduced by Nikiforov and Uvarov, one can obtain recurrence relations for the hypergeometric-type functions not only for the continuous case but also ...
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 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 distribution of zeros of general q-polynomials
(Institute of Physics, 1997-10-07)
A general system of q-orthogonal polynomials is de ned by means of its three-term recurrence relation. This system encompasses many of the known families of q-polynomials, among them the q-analog of the classical orthogonal ...
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 ...