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Artículo
On the orthogonality of q-classical polynomials of the Hahn class
(2012)
The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric dif ference equation on a q-linear lattice by means of a qualitative ...
Artículo
Some limit relations in the A1 tableau of Dunkl-Cherednik operators
(Elsevier, 2003-12-15)
In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau of Dunkl-Cherednik operators. Concretely we consider the limits involving the nonsymmetric q-ultraspherical ...
Artículo
Mellin transforms for some families of q-polynomials
(Elsevier, 2003-04-01)
By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral transforms for the families of the discrete q-Hermite II, the Al-Salam–Carlitz II, the big q-Laguerre, ...
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 connection and linearization problem for discrete hypergeometric q-polynomials
(Elsevier, 2001-05-01)
In the present paper, starting from the second-order difference hypergeometric equation on the non-uniform lattice x(s) satisfied by the set of discrete hypergeometric orthogonal q-polynomials {pn}, we find analytical ...
Artículo
A characterization of the classical orthogonal discrete and q-polynomials
(Elsevier, 2007-04-01)
In this paper we present a new characterization for the classical discrete and q-classical (discrete) polynomials (in the Hahn's sense).
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 ...