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Listar Artículos (Análisis Matemático) por autor "Álvarez Nodarse, Renato"
Mostrando ítems 1-20 de 63
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A characterization of the classical orthogonal discrete and q-polynomials
Alfaro García, Manuel; Álvarez Nodarse, Renato (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).
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A generalization of the classical Laguerre polynomials
Álvarez Nodarse, Renato; Marcellán Español, Francisco (Springer, 1995)We consider a modi cation of the gamma distribution by adding a discrete measure supported in the point x = 0. For large ...
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A q-analog of the Racah polynomials and the q-algebra SUq(2)
Álvarez Nodarse, Renato; Smirnov, Yuri F.; Costas Santos, Roberto Santiago (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.
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A q-extension of the generalized Hermite polynomials with the continuous orthogonality property on R
Álvarez Nodarse, Renato; Atakishiyeva Kyazim Zade, Messouma; Atakishiyev Mektiyev, Natig (Academic Publications, 2004)In this paper we study in detail a q-extension of the generalized Hermite polynomials of Szeg˝o. A continuous orthogonality ...
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Asymptotic properties of generalized Laguerre orthogonal polynomials
Álvarez Nodarse, Renato; Moreno Balcázar, Juan José (Elsevier, 2004-06)In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, ...
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À la carte recurrence relations for continuous and discrete hypergeometric functions
Álvarez Nodarse, Renato (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 ...
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Comment on “Ratchet universality in the presence of thermal noise”
Quintero, Niurka R.; Álvarez Nodarse, Renato; Cuesta, José Antonio (2013)A recent paper [P. J. Martínez and R. Chacón, Phys. Rev. E 87, 062114 (2013)] presents numerical simulations on a system ...
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Distribution of zeros of discrete and continuous polynomials from their recurrence relation
Álvarez Nodarse, Renato; Sánchez Dehesa, Jesús (Elsevier, 2002-05-25)The hypergeometric polynomials in a continous or a discrete variable, whose canonical forms are the so-called classical ...
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Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility
Quintero, Niurka R.; Álvarez Nodarse, Renato; Mertens, Franz G. (2009)This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the ...
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«Empaquetando» a los estudiantes en las aulas
Álvarez Nodarse, Renato; Quintero, Niurka R. (Universidad de Almería, 2021-04-29)La situación sanitaria que nos ha tocado vivir ha modificado radicalmente nuestra vida diaria, esencialmente en nuestra ...
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Factorization method for difference equations of hypergeometric type on nonuniform lattices
Álvarez Nodarse, Renato; Costas Santos, Roberto Santiago (IOP Publishing, 2001-06-29)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.
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Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
Álvarez Nodarse, Renato; Atakishiyev Mektiyev, Natig; Costas Santos, Roberto Santiago (Institute of Physics, 2005-01-07)We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. ...
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Factorization of the hypergeometric-type difference equation on the uniform lattice
Atakishiyev Mektiyev, Natig; Álvarez Nodarse, Renato; Costas Santos, R. (2007) -
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Jacobi-Sobolev-type orthogonal polynomials: second-order differential equation and zeros
Arvesú Carballo, Jorge; Álvarez Nodarse, Renato; Marcellán Español, Francisco; Pan, Ke-Lin (Elsevier, 1998-04-17)We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Qn} associated with the inner product ...
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Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
Álvarez Nodarse, Renato; Quintero, Niurka R.; Mertens, Franz G. (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 ...
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Limit relations between q-Krall type orthogonal polynomials
Álvarez Nodarse, Renato; Costas Santos, Roberto Santiago (Elsevier, 2006)In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification ...
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Mellin transforms for some families of q-polynomials
Álvarez Nodarse, Renato; Atakishiyeva Kyazim Zade, Messouma; Atakishiyev Mektiyev, Natig (Elsevier, 2003-04-01)By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral ...
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Modelos matemáticos en biología: un viaje de ida y vuelta
Álvarez Nodarse, Renato (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 ...
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Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions
Álvarez Nodarse, Renato; Arvesú Carballo, Jorge; Marcellán Español, Francisco (Elsevier, 2004)We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures. We ...
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Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
Álvarez Nodarse, Renato; Yáñez García, Rafael José; Sánchez Dehesa, Jesús (Elsevier, 1998-03-09)Starting from the second-order difference hypergeometric equation satisfied by the set of discrete orthogonal polynomials ...