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Mostrando ítems 41-50 de 66
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
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 recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogenlike atoms: analytical and numerical study
(2006)
Using a general procedure for finding recurrence relations for hypergeometric functions and polynomials introduced by Cardoso et al. [J. Phys. A 36 (2003), 2055-2068] we obtain some new recurrence relations for the ...
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 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 limit of non-standard q-Racah polynomials
(2014-03-15)
The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual q-Hahn, and q-Hahn polynomials such that the orthogonality properties and the three-term recurrence ...
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 q-analog of the Racah polynomials and the q-algebra SUq(2)
(Springer, 2006-01)
We study some q-analogues of the Racah polynomials and some of their applications in the theory of representation of quantum algebras.
Artículo
Comment on “Ratchet universality in the presence of thermal noise”
(2013)
A recent paper [P. J. Martínez and R. Chacón, Phys. Rev. E 87, 062114 (2013)] presents numerical simulations on a system exhibiting directed ratchet transport of a driven overdamped Brownian particle subjected to a spatially ...
Artículo
On the Krall-type discrete polynomials
(Elsevier, 2004-07-01)
In this paper we present a unified theory for studying the so called Kralltype discrete orthogonal polynomials. In particular, the three-term recurrence relation, lowering and raising operators as well as the second order ...