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Artículo
Factorization method for difference equations of hypergeometric type on nonuniform lattices
(IOP Publishing, 2001-06-29)
We study the factorization of the hypergeometric-type difference equation of Nikiforov and Uvarov on nonuniform lattices. An explicit form of the raising and lowering operators is derived and some relevant examples are given.
Artículo
A q-analog of the Racah polynomials and the q-algebra SUq(2)
(Springer, 2006-01)
We study some q-analogues of the Racah polynomials and some of their applications in the theory of representation of quantum algebras.
Artículo
Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
(Institute of Physics, 2005-01-07)
We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. It is shown that in the most cases of q-linear spectrum of the eigenvalues this directly leads to ...
Artículo
Limit relations between q-Krall type orthogonal polynomials
(Elsevier, 2006)
In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification of a q-classical linear functional via the addition of one or two mass points. The limit relations ...