19 citations · 42 across the 5 of their papers we have counts for
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Factorization method for difference equations of hypergeometric type on nonuniform lattices
R. Álvarez-Nodarse, R. S. Costas-Santos
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…
Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
R. Álvarez-Nodarse, N. M. Atakishiyev, R. S. Costas-Santos
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 o…
A Survey on q-Polynomials and their Orthogonality Properties
Roberto S. Costas-Santos, Joaquin F. Sanchez-Lara
In this paper we study the orthogonality conditions satisfied by the classical q-orthogonal polynomials that are located at the top of the q-Hahn tableau (big q-jacobi polynomials…