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Artículo
On the generalized Askey-Wilson polynomials
(Elsevier, 2013-06)
In this paper a generalization of Askey-Wilson polynomials is introduced. These polynomials are obtained from the Askey-Wilson polynomials via the addition of two mass points to the weight function of them at the points ...
Artículo
On the Krall-type polynomials
(2004)
Using a general and simple algebraic approach, some results on Krall-type orthogonal polynomials and some of their extensions are obtained.
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
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 ...