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Artículo
Recurrence relations for discrete hypergeometric functions
(Taylor & Francis, 2005)
We present a general procedure for finding linear recurrence relations for the solutions of the second order difference equation of hypergeometric type. Applications to wave functions of certain discrete system are also given.
Artículo
On characterizations of classical polynomials
(Elsevier, 2006-11-01)
It is well known that the classical families of Jacobi, Laguerre, Hermite, and Bessel polynomials are characterized as eigenvectors of a second order linear differential operator with polynomial coefficients, Rodrigues ...
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 ...