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Mostrando ítems 1-6 de 6
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
Distribution of zeros of discrete and continuous polynomials from their recurrence relation
(Elsevier, 2002-05-25)
The hypergeometric polynomials in a continous or a discrete variable, whose canonical forms are the so-called classical orthogonal polynomial systems, are ob jects which naturally appear in a broad range of physical and ...
Artículo
À la carte recurrence relations for continuous and discrete hypergeometric functions
(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 recurrence relations for the hypergeometric-type functions not only for the continuous case but also ...
Artículo
On the Krall-type polynomials on q-quadratic lattices
(Elsevier, 2011-08)
In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. ...
Artículo
The q-Racah-Krall-type polynomials
(Elsevier, 2012-08-01)
In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the standard q-Racah polynomials are introduced. Several algebraic properties of these polynomials are obtained ...
Artículo
Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
(Elsevier, 1998-03-09)
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete orthogonal polynomials ∗pn∗, we find the analytical expressions of the expansion coefficients of any polynomial rm(x) and ...