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Listar Artículos (Análisis Matemático) por autor "Marcellán Español, Francisco"
Mostrando ítems 1-15 de 15
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Artículo
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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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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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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On a modification of the Jacobi linear functional asymptotic properties and zeros of the corresponding orthogonal polynomials
Arvesú Carballo, Jorge; Marcellán Español, Francisco; Álvarez Nodarse, Renato (Springer, 2002-04)The paper deals with orthogonal polynomials in the case where the orthogonality condition is related to semiclassical ...
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On the "Favard theorem" and its extensions
Marcellán Español, Francisco; Álvarez Nodarse, Renato (Elsevier, 2001-01-15)In this paper we present a survey on the "Favard theorem" and its extensions.
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On the Krall-type polynomials
Álvarez Nodarse, Renato; Arvesú Carballo, Jorge; Marcellán Español, Francisco (2004)Using a general and simple algebraic approach, some results on Krall-type orthogonal polynomials and some of their extensions are obtained.
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On the modification of classical orthogonal polynomials: the symmetric case
Álvarez Nodarse, Renato; Marcellán Español, Francisco (Springer, 1998-03)We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the ...
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On the properties for modifications of classical orthogonal polynomials of discrete variables
Álvarez Nodarse, Renato; García García, Antonio; Marcellán Español, Francisco (Elsevier, 1995-12-29)We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass ...
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On the q-polynomials: a distributional study
Medem Roesicke, Juan Carlos; Álvarez Nodarse, Renato; Marcellán Español, Francisco (Elsevier, 2001-10-15)In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From ...
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Q-classical orthogonal polynomials: a very classical approach
Marcellán Español, Francisco; Medem Roesicke, Juan Carlos (Kent State University, 1999)The q-classical orthogonal polynomials defined by Hahn satisfy a Sturm-Liouville type equation in geometric differences. ...
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Some extension of the Bessel-type orthogonal polynomials
Arvesú Carballo, Jorge; Álvarez Nodarse, Renato; Marcellán Español, Francisco; Kwon, Kil Hyun (Taylor & Francis, 1998)We consider the perturbation of the classical Bessel moment functional by the addition of the linear functional M0 (x) + ...
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Artículo
Special volume on orthogonal polynomials and mathematical physics
Álvarez Nodarse, Renato; Arvesú Carballo, Jorge; Marcellán Español, Francisco (Kent State University, 2006) -
Artículo
The limit relations between generalized orthogonal polynomials
Álvarez Nodarse, Renato; Marcellán Español, Francisco (Elsevier, 1997-09)We consider the different limit transitions for modifications of the classical polynomials obtained by the addition of one ...
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Artículo
The modification of classical Hahn polynomials of a discrete variable
Álvarez Nodarse, Renato; Marcellán Español, Francisco (Taylor & Francis, 1995)We consider a modi cation of moment functionals for the Hahn classical polynomials of a discrete variable by adding two ...
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Artículo
WKB approximation and Krall-Type orthogonal polynomials
Álvarez Nodarse, Renato; Marcellán Español, Francisco; Soares Petronilho, José Carlos (Springer, 1998-10)We give an uni ed approach to the Krall-type polynomials orthogonal with respect to a positive measure consisting of an ...