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Artículo
On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1
(Sociedad Matemática Mexicana / Springer, 2002-10)
We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous orthogonality on the whole real line R with respect to the positive weight function. This sequence can ...
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
On a modification of the Jacobi linear functional asymptotic properties and zeros of the corresponding orthogonal polynomials
(Springer, 2002-04)
The paper deals with orthogonal polynomials in the case where the orthogonality condition is related to semiclassical functionals. The polynomials that we discuss are a generalization of Jacobi polynomials and Jacobi-type ...