Buscar
Mostrando ítems 51-60 de 66
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
Stability of solitary waves in nonlinear Klein-Gordon equations
(IOP Publishing, 2022-11)
The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein–Gordon systems is revisited. The linearized equation describing small deviations around the static solution leads to a Sturm–Liouville ...
Artículo
On the Krall-type polynomials on q-quadratic lattices
(Elsevier, 2011-08)
In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations 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
On the linearization problem involving Pochhammer symbols and their q-analogues
(Elsevier, 1999-07-15)
In this paper we present a simple recurrent algorithm for solving the linearization problem involving some families of q-polynomials in the exponential lattice x(s)=c1qs+c3. Some simple examples are worked out in detail.
Artículo
On the properties of special functions on the linear-type lattices
(Elsevier, 2013-09-01)
We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear difference equation of hypergeometric ...
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 ...