19 citations · 42 across the 5 of their papers we have counts for
5 papers
Limit relations between -Krall type orthogonal polynomials
R. Álvarez-Nodarse, R. S. Costas-Santos
In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification of a -classical linear functional via the addition…
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…
Integral representations for a generalized Hermite linear functional
R. S. Costas-Santos
In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representa…