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Browsing by Author "Soares Petronilho, José Carlos"
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Article
On linearly related sequences of difference derivatives of discrete orthogonal polynomials
Álvarez Nodarse, Renato; Soares Petronilho, José Carlos; Pinzón Cortés, Natalia Camila; Sevinik Adigüzel, Rezan (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 ...
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Article
On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
Álvarez Nodarse, Renato; Soares Petronilho, José Carlos; Quintero, Niurka R. (Elsevier, 2005-12-15)In this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, ...
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Article
On the Krall-type discrete polynomials
Álvarez Nodarse, Renato; Soares Petronilho, José Carlos (Elsevier, 2004-07-01)In this paper we present a unified theory for studying the so called Kralltype discrete orthogonal polynomials. In ...
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Article
Spectral properties of certain tridiagonal matrices
Álvarez Nodarse, Renato; Soares Petronilho, José Carlos; Quintero, Niurka R. (Elsevier, 2012-02-01)We study spectral properties of irreducible tridiagonal k−Toeplitz matrices and certain matrices which arise as perturbations of them.
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Article
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 ...