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Artículo
On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
(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, eigenvectors and the spectral measure associated to the corresponding infinite matrices. As an ...
Artículo
Second order difference equations for certain families of discrete polynomials
(Elsevier, 1998-11-16)
In this paper we will consider two algorithms which allow us to obtain second order linear di erence equations for certain families of polynomials. The corresponding algorithms can be implemented in any computer algebra ...
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 analyze the existence of the corresponding orthogonal polynomial sequences with respect to such linear ...
Artículo
Spectral properties of certain tridiagonal matrices
(Elsevier, 2012-02-01)
We study spectral properties of irreducible tridiagonal k−Toeplitz matrices and certain matrices which arise as perturbations of them.
Artículo
Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters
(Wiley, 2021-09-30)
We construct new examples of exceptional Hahn and Jacobi polynomials. Exceptional polynomials are orthogonal polynomials with respect to a measure which are also eigenfunctions of a second-order difference or differential ...
Artículo
q-Classical polynomials and the q-Askey and Nikiforov-Uvarov tableaus
(Elsevier, 2001-10-15)
In this paper we continue the study of the q-classical (discrete) polynomials (in the Hahn's sense) started in Medem et al. (this issue, Comput. Appl. Math. 135 (2001) 157-196). Here we will compare our scheme with the ...
Artículo
On the Krall-type discrete polynomials
(Elsevier, 2004-07-01)
In this paper we present a unified theory for studying the so called Kralltype discrete orthogonal polynomials. In particular, the three-term recurrence relation, lowering and raising operators as well as the second order ...