19 citations · 42 across the 5 of their papers we have counts for
5 papers
Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations
Renato Álvarez-Nodarse, Antonio J. Durán
Let be either the -Meixner or the -Laguerre polynomials. We form a new sequence of polynomials by considering a linear combination of two consecutive $p_n…
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…
On the orthogonality of q-classical polynomials of the Hahn class II
R. Alvarez-Nodarse, R. Sevinik-Adiguzel, H. Taseli
In this article, the study of the orthogonality properties of -polynomials of the Hahn class started in the initial article by R. Álvarez-Nodarse, R. Sevinik-Adıgüzel, and H. Ta…
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…