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Artículo
Ratchet effect on a relativistic particle driven by external forces
(Institute of Physics, 2011)
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any external force, providing ...
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
On the orthogonality of q-classical polynomials of the Hahn class
(2012)
The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric dif ference equation on a q-linear lattice by means of a qualitative ...
Artículo
Propulsion efficiency of a dynamic self-assembled helical ribbon
(2013)
We study the dynamic self-assembly and propulsion of a ribbon formed from paramagnetic colloids in a dynamic magnetic field. The sedimented ribbon assembles due to time averaged dipolar interactions between the beads. The ...
Artículo
The q-Racah-Krall-type polynomials
(Elsevier, 2012-08-01)
In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the standard q-Racah polynomials are introduced. Several algebraic properties of these polynomials are obtained ...
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 ...
Ponencia
Artículo
On linearly related sequences of difference derivatives of discrete orthogonal polynomials
(Elsevier, 2015-08-15)
Let ν be either ω ∈ C \ {0} or q ∈ C \ {0, 1}, and let Dν be the corresponding difference operator defined in the usual way either by Dωp(x) = p(x+ω)−p(x) ω or Dqp(x) = p(qx)−p(x) (q−1)x. Let U and V be two moment regular ...
Artículo
On the generalized Askey-Wilson polynomials
(Elsevier, 2013-06)
In this paper a generalization of Askey-Wilson polynomials is introduced. These polynomials are obtained from the Askey-Wilson polynomials via the addition of two mass points to the weight function of them at the points ...
Artículo
Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets
(2013)
Ratchets are devices that are able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. In rocking ratchets, the asymmetry is induced through a proper choice of external forces and modulations ...