Perfil del autor: Álvarez Nodarse, Renato
Datos institucionales
| Nombre | Álvarez Nodarse, Renato |
| Departamento | Análisis Matemático |
| Área de conocimiento | Análisis Matemático |
| Categoría profesional | Catedrático de Universidad |
| Correo electrónico | Solicitar |
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Estadísticas
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Nº publicaciones
81
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Nº visitas
14470
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Nº descargas
37715
| Publicaciones |
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Artículo
 Stability of solitary waves in nonlinear Klein-Gordon equations
(IOP Publishing, 2022)
The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein–Gordon systems is revisited. The ... |
Trabajo Fin de Grado
Una Teoría Unificada de las Funciones Especiales
(2022)
El objetivo de este trabajo es introducirnos a la teoría de las funciones especiales utilizando el método unificado propuesto ... |
Trabajo Fin de Grado
Estudio de las soluciones de ciertas clases de ecuaciones de Schrödinger
(2022)
El objeto de estudio de este trabajo es la ecuación de Schrödinger independiente del tiempo que surge de considerar un ... |
Trabajo Fin de Grado
Sobre las q-series y algunas de sus aplicaciones
(2022)
El objetivo de este trabajo es dar a conocer la teoría de las q-series y mostrar algunas de sus aplicaciones. Muchas de ... |
Trabajo Fin de Grado
Sobre las q-series y algunas de sus aplicaciones
(2021)
El objetivo de este trabajo es dar a conocer la teoría de las q-series y mostrar algunas de sus aplicaciones. Muchas de ... |
Trabajo Fin de Grado
Sobre la estabilidad de ciertos tipos de ecuaciones no lineales de Klein-Gordon
(2021)
En el presente trabajo, nuestro objetivo es estudiar la estabilidad de ciertas soluciones estacionarias de una determinada ... |
Trabajo Fin de Grado
Algunos aspectos matemáticos de la Teoría Cuántica de Campos
(2021)
El objetivo de este trabajo es dar rigor matemático a algunos de los conceptos y técnicas usadas en la Teoría Cuántica de ... |
Artículo
«Empaquetando» a los estudiantes en las aulas
(Universidad de Almería, 2021)
La situación sanitaria que nos ha tocado vivir ha modificado radicalmente nuestra vida diaria, esencialmente en nuestra ... |
Trabajo Fin de Grado
Efectos del potencial sobre la ecuación no lineal de Schrödinger
(2020)
El objetivo principal de este trabajo es el estudio de la ecuación no lineal de Schródinger (NLS) y de sus propiedades. ... |
Artículo
Uniform convergence of basic Fourier-Bessel series on a q-linear grid
(Springer, 2018)
We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with ... |
Trabajo Fin de Grado
El teorema de muestreo y sus aplicaciones
(2018)
En este trabajo nuestro objeto de estudio será la teoría de señales, el objetivo es llegar al teorema de muestreo de ... |
Ponencia
Functionals of harmonics functions
(Multidisciplinary Digital Publishing Institute, 2018)
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. |
| Ponencia |
Artículo
On linearly related sequences of difference derivatives of discrete orthogonal polynomials
(Elsevier, 2015)
Let ν be either ω ∈ C \ {0} or q ∈ C \ {0, 1}, and let Dν be the corresponding difference operator defined in the usual ... |
Artículo
Paramagnetic colloidal ribbons in a precessing magnetic field
(American Physical Society, 2015)
We investigate the dynamics of a kink in a damped parametrically driven nonlinear Klein-Gordon equation.We show by using ... |
Artículo
General approach for dealing with dynamical systems with spatiotemporal periodicities
(American Physical Society, 2015)
Dynamical systems often contain oscillatory forces or depend on periodic potentials. Time or space periodicity is reflected ... |
Tesis Doctoral
Orthogonal matrix polynomials and differential, difference and q-difference matrix operators
(2014)
In this thesis we present a series of result that are framed in the theory of Matrix Orthogonal Polynomials, a branch of ... |
Artículo
On the limit of non-standard q-Racah polynomials
(2014)
The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual ... |
Artículo
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
(American Physical Society, 2014)
A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both ... |
Artículo
On the properties of special functions on the linear-type lattices
(Elsevier, 2013)
We present a general theory for studying the difference analogues of special functions of hypergeometric type on the ... |
Artículo
On the generalized Askey-Wilson polynomials
(Elsevier, 2013)
In this paper a generalization of Askey-Wilson polynomials is introduced. These polynomials are obtained from the Askey-Wilson ... |
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 ... |
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. ... |
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 ... |
Artículo
The q-Racah-Krall-type polynomials
(Elsevier, 2012)
In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the standard ... |
Artículo
Spectral properties of certain tridiagonal matrices
(Elsevier, 2012)
We study spectral properties of irreducible tridiagonal k−Toeplitz matrices and certain matrices which arise as perturbations of them. |
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 ... |
| Ponencia |
| Ponencia |
Artículo
À la carte recurrence relations for continuous and discrete hypergeometric functions
(Sociedad Española de Matemática Aplicada, 2011)
We show how, using the constructive approach for special functions introduced by Nikiforov and Uvarov, one can obtain ... |
Artículo
On the Krall-type polynomials on q-quadratic lattices
(Elsevier, 2011)
In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear ... |
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 ... |
Artículo
Symmetries shape the current in ratchets induced by a biharmonic driving force
(2010)
Equations describing the evolution of particles, solitons, or localized structures, driven by a zero-average, periodic, ... |
Artículo
Symmetries shape the current in ratchets induced by a biharmonic driving force [Rapid Comunication]
(American Physical Society, 2010)
Equations describing the evolution of particles, solitons, or localized structures, driven by a zero-average, periodic, ... |
Artículo
Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method
(Kent State University, 2009)
The functions of hypergeometric-type are the solutions y = yν(z) of the differential equation σ(z)y ′′ + τ(z)y ′ + λy = ... |
Artículo
Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility
(2009)
This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the ... |
Artículo
A characterization of the classical orthogonal discrete and q-polynomials
(Elsevier, 2007)
In this paper we present a new characterization for the classical discrete and q-classical (discrete) polynomials (in the Hahn's sense). |
| Artículo |
Artículo
On characterizations of classical polynomials
(Elsevier, 2006)
It is well known that the classical families of Jacobi, Laguerre, Hermite, and Bessel polynomials are characterized as ... |
Artículo
Modelos matemáticos en biología: un viaje de ida y vuelta
(Sociedad Española de Matemática Aplicada, 2006)
El objetivo de este trabajo es mostrar la provechosa interacción entre la Biología y la Matemática. Para ello veremos cómo, ... |
Artículo
Special volume on orthogonal polynomials and mathematical physics
(Kent State University, 2006)
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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 ... |
Artículo
A q-analog of the Racah polynomials and the q-algebra SUq(2)
(Springer, 2006)
We study some q-analogues of the Racah polynomials and some of their applications in the theory of representation of quantum algebras. |
Artículo
Limit relations between q-Krall type orthogonal polynomials
(Elsevier, 2006)
In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification ... |
Artículo
On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
(Elsevier, 2005)
In this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, ... |
Artículo
On a q-extension of the linear harmonic oscillator with the continuous orthogonality property on R
(Springer, 2005)
We discuss a q-analogue of the linear harmonic oscillator in quantum mechanics, based on a q-extension of the classical ... |
Artículo
Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
(Institute of Physics, 2005)
We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. ... |
Artículo
Recurrence relations for discrete hypergeometric functions
(Taylor & Francis, 2005)
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. |
Artículo
On the Krall-type discrete polynomials
(Elsevier, 2004)
In this paper we present a unified theory for studying the so called Kralltype discrete orthogonal polynomials. In particular, ... |
Artículo
Asymptotic properties of generalized Laguerre orthogonal polynomials
(Elsevier, 2004)
In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, ... |
Artículo
Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions
(Elsevier, 2004)
We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures. We ... |
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
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 ... |
Artículo
Some limit relations in the A1 tableau of Dunkl-Cherednik operators
(Elsevier, 2003)
In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau ... |
Artículo
Mellin transforms for some families of q-polynomials
(Elsevier, 2003)
By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral ... |
Artículo
On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1
(Sociedad Matemática Mexicana / Springer, 2002)
We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous ... |
Artículo
Distribution of zeros of discrete and continuous polynomials from their recurrence relation
(Elsevier, 2002)
The hypergeometric polynomials in a continous or a discrete variable, whose canonical forms are the so-called classical ... |
Artículo
On a modification of the Jacobi linear functional asymptotic properties and zeros of the corresponding orthogonal polynomials
(Springer, 2002)
The paper deals with orthogonal polynomials in the case where the orthogonality condition is related to semiclassical ... |
Artículo
On the q-polynomials: a distributional study
(Elsevier, 2001)
In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From ... |
Artículo
q-Classical polynomials and the q-Askey and Nikiforov-Uvarov tableaus
(Elsevier, 2001)
In this paper we continue the study of the q-classical (discrete) polynomials (in the Hahn's sense) started in Medem et ... |
Artículo
Factorization method for difference equations of hypergeometric type on nonuniform lattices
(IOP Publishing, 2001)
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. |
Artículo
On the connection and linearization problem for discrete hypergeometric q-polynomials
(Elsevier, 2001)
In the present paper, starting from the second-order difference hypergeometric equation on the non-uniform lattice x(s) ... |
Artículo
On the "Favard theorem" and its extensions
(Elsevier, 2001)
In this paper we present a survey on the "Favard theorem" and its extensions. |
Capítulo de Libro
Los q-polinomios hipergeométricos
(Universidad de La Rioja, 2001)
It is well known that the q-polynomials of hypergeometric type are the polynomial solutions of a certain second order ... |
Artículo
Polinomios ortogonales: historia y aplicaciones
(Sociedad Española de Matemática Aplicada, 2001)
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Artículo
On the linearization problem involving Pochhammer symbols and their q-analogues
(Elsevier, 1999)
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 q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
(Taylor & Francis, 1999)
The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach ... |
Artículo
Second order difference equations for certain families of discrete polynomials
(Elsevier, 1998)
In this paper we will consider two algorithms which allow us to obtain second order linear di erence equations for certain ... |
Artículo
WKB approximation and Krall-Type orthogonal polynomials
(Springer, 1998)
We give an uni ed approach to the Krall-type polynomials orthogonal with respect to a positive measure consisting of an ... |
Artículo
Jacobi-Sobolev-type orthogonal polynomials: second-order differential equation and zeros
(Elsevier, 1998)
We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Qn} associated with the inner product ... |
Artículo
Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
(Elsevier, 1998)
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete orthogonal polynomials ... |
Artículo
On the modification of classical orthogonal polynomials: the symmetric case
(Springer, 1998)
We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the ... |
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) + ... |
Artículo
The distribution of zeros of general q-polynomials
(Institute of Physics, 1997)
A general system of q-orthogonal polynomials is de ned by means of its three-term recurrence relation. This system encompasses ... |
Artículo
The limit relations between generalized orthogonal polynomials
(Elsevier, 1997)
We consider the different limit transitions for modifications of the classical polynomials obtained by the addition of one ... |
Artículo
Recurrence relations for connection coefficients between q-orthogonal polynomials of discrete variables in the non-uniform lattice X(s) = q2s
(Institute of Physics, 1996)
We obtain the structure relations for q-orthogonal polynomials in the exponential lattice q 2s and from that we construct ... |
Artículo
The dual Hahn q-polynomials in the lattice x(s) = [s]q[s + 1] q and the q-Algebras SUq(2) and SUq(1; 1)
(Institute of Physics, 1996)
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 ... |
Artículo
On the properties for modifications of classical orthogonal polynomials of discrete variables
(Elsevier, 1995)
We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass ... |
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 ... |
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 ... |
Artículo
q-Deformed Vibron model for diatomic molecules
(American Physical Society, 1994)
A deformed version of the vibron model for diatomic molecules is constructed. Both the O(4) and U(3) dynamical symmetries ... |