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Mostrando ítems 11-16 de 16
Artículo
On the properties for modifications of classical orthogonal polynomials of discrete variables
(Elsevier, 1995-12-29)
We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass point at x = 0. We obtain the resulting orthogonal polynomials, identify them as hypergeometric functions ...
Artículo
The distribution of zeros of general q-polynomials
(Institute of Physics, 1997-10-07)
A general system of q-orthogonal polynomials is de ned by means of its three-term recurrence relation. This system encompasses many of the known families of q-polynomials, among them the q-analog of the classical orthogonal ...
Artículo
On the linearization problem involving Pochhammer symbols and their q-analogues
(Elsevier, 1999-07-15)
In this paper we present a simple recurrent algorithm for solving the linearization problem involving some families of q-polynomials in the exponential lattice x(s)=c1qs+c3. Some simple examples are worked out in detail.
Artículo
The modification of classical Hahn polynomials of a discrete variable
(Taylor & Francis, 1995)
We consider a modi cation of moment functionals for the Hahn classical polynomials of a discrete variable by adding two mass points at the ends of the interval, i.e., in x = 0 and x = N 1. We obtain the resulting orthogonal ...
Artículo
On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
(Taylor & Francis, 1999)
The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach introduced by Nikiforov and Uvarov in 1983. We consider the q-polynomials on the non-uniform exponential ...
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 ...