The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein–Gordon systems is revisited. The ...

El objetivo de este trabajo es introducirnos a la teoría de las funciones especiales utilizando el método unificado propuesto ...

El objeto de estudio de este trabajo es la ecuación de Schrödinger independiente del tiempo que surge de considerar un ...

El objetivo de este trabajo es dar a conocer la teoría de las q-series y mostrar algunas de sus aplicaciones. Muchas de ...

El objetivo de este trabajo es dar a conocer la teoría de las q-series y mostrar algunas de sus aplicaciones. Muchas de ...

En el presente trabajo, nuestro objetivo es estudiar la estabilidad de ciertas soluciones estacionarias de una determinada ...

El objetivo de este trabajo es dar rigor matemático a algunos de los conceptos y técnicas usadas en la Teoría Cuántica de ...

La situación sanitaria que nos ha tocado vivir ha modificado radicalmente nuestra vida diaria, esencialmente en nuestra ...

El objetivo principal de este trabajo es el estudio de la ecuación no lineal de Schródinger (NLS) y de sus propiedades. ...

We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with ...

En este trabajo nuestro objeto de estudio será la teoría de señales, el objetivo es llegar al teorema de muestreo de ...

Let CsT, with T > 0, be the set of continuous, T-periodic functions f : R → Rs, and let Γ : CsT → R be a real functional on CsT.

Let ν be either ω ∈ C \ {0} or q ∈ C \ {0, 1}, and let Dν be the corresponding difference operator defined in the usual ...

We investigate the dynamics of a kink in a damped parametrically driven nonlinear Klein-Gordon equation.We show by using ...

Dynamical systems often contain oscillatory forces or depend on periodic potentials. Time or space periodicity is reflected ...

In this thesis we present a series of result that are framed in the theory of Matrix Orthogonal Polynomials, a branch of ...

The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual ...

A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both ...

We present a general theory for studying the difference analogues of special functions of hypergeometric type on the ...

In this paper a generalization of Askey-Wilson polynomials is introduced. These polynomials are obtained from the Askey-Wilson ...

A recent paper [P. J. Martínez and R. Chacón, Phys. Rev. E 87, 062114 (2013)] presents numerical simulations on a system ...

Ratchets are devices that are able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. ...

We study the dynamic self-assembly and propulsion of a ribbon formed from paramagnetic colloids in a dynamic magnetic ...

In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the standard ...

We study spectral properties of irreducible tridiagonal k−Toeplitz matrices and certain matrices which arise as perturbations of them.

The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial ...

We show how, using the constructive approach for special functions introduced by Nikiforov and Uvarov, one can obtain ...

In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear ...

We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic ...

Equations describing the evolution of particles, solitons, or localized structures, driven by a zero-average, periodic, ...

Equations describing the evolution of particles, solitons, or localized structures, driven by a zero-average, periodic, ...

The functions of hypergeometric-type are the solutions y = yν(z) of the differential equation σ(z)y ′′ + τ(z)y ′ + λy = ...

This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the ...

In this paper we present a new characterization for the classical discrete and q-classical (discrete) polynomials (in the Hahn's sense).

It is well known that the classical families of Jacobi, Laguerre, Hermite, and Bessel polynomials are characterized as ...

El objetivo de este trabajo es mostrar la provechosa interacción entre la Biología y la Matemática. Para ello veremos cómo, ...

Using a general procedure for finding recurrence relations for hypergeometric functions and polynomials introduced by ...

We study some q-analogues of the Racah polynomials and some of their applications in the theory of representation of quantum algebras.

In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification ...

In this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, ...

We discuss a q-analogue of the linear harmonic oscillator in quantum mechanics, based on a q-extension of the classical ...

We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. ...

We present a general procedure for finding linear recurrence relations for the solutions of the second order difference equation of hypergeometric type. Applications to wave functions of certain discrete system are also given.

In this paper we present a unified theory for studying the so called Kralltype discrete orthogonal polynomials. In particular, ...

In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, ...

We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures. We ...

Using a general and simple algebraic approach, some results on Krall-type orthogonal polynomials and some of their extensions are obtained.

In this paper we study in detail a q-extension of the generalized Hermite polynomials of Szeg˝o. A continuous orthogonality ...

In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau ...

By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral ...

We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous ...

The hypergeometric polynomials in a continous or a discrete variable, whose canonical forms are the so-called classical ...

The paper deals with orthogonal polynomials in the case where the orthogonality condition is related to semiclassical ...

In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From ...

In this paper we continue the study of the q-classical (discrete) polynomials (in the Hahn's sense) started in Medem et ...

We study the factorization of the hypergeometric-type difference equation of Nikiforov and Uvarov on nonuniform lattices. An explicit form of the raising and lowering operators is derived and some relevant examples are given.

In the present paper, starting from the second-order difference hypergeometric equation on the non-uniform lattice x(s) ...

In this paper we present a survey on the "Favard theorem" and its extensions.

It is well known that the q-polynomials of hypergeometric type are the polynomial solutions of a certain second order ...

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.

The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach ...

In this paper we will consider two algorithms which allow us to obtain second order linear di erence equations for certain ...

We give an uni ed approach to the Krall-type polynomials orthogonal with respect to a positive measure consisting of an ...

We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Qn} associated with the inner product ...

Starting from the second-order difference hypergeometric equation satisfied by the set of discrete orthogonal polynomials ...

We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the ...

We consider the perturbation of the classical Bessel moment functional by the addition of the linear functional M0 (x) + ...

A general system of q-orthogonal polynomials is de ned by means of its three-term recurrence relation. This system encompasses ...

We consider the different limit transitions for modifications of the classical polynomials obtained by the addition of one ...

We obtain the structure relations for q-orthogonal polynomials in the exponential lattice q 2s and from that we construct ...

The dual q-Hahn polynomials in the non uniform lattice x(s) = [s]q[s + 1]q are obtained. The main data for these polynomials ...

We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass ...

We consider a modi cation of the gamma distribution by adding a discrete measure supported in the point x = 0. For large ...

We consider a modi cation of moment functionals for the Hahn classical polynomials of a discrete variable by adding two ...

A deformed version of the vibron model for diatomic molecules is constructed. Both the O(4) and U(3) dynamical symmetries ...