11 citations · 16 across the 4 of their papers we have counts for
4 papers
On linearly related sequences of difference derivatives of discrete orthogonal polynomials
R. Alvarez-Nodarse, J. Petronilho, N. C. Pinzon-Cortes +1
Let D_v the difference operator and q-difference operators defined by D_ωp(x) = \frac{p(x+ω)-p(x)}ω and D_q p(x) = \frac{p(qx)-p(x)}{(q-1)x}, respectively. Let U and V be two momen…
On the Krall-type Askey-Wilson Polynomials
R. Alvarez-Nodarse, R. Sevinik-Adiguzel
In this paper the general Krall-type Askey-Wilson polynomials are introduced. These polynomials are obtained from the Askey-Wilson polynomials via the addition of two mass points t…
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…
The orthogonality of q-classical polynomials of the Hahn class: A geometrical approach
R. Alvarez-Nodarse, R. Sevinik-Adiguzel, H. Taseli
The idea of this review article is to discuss in a unified way the orthogonality of all positive definite polynomial solutions of the -hypergeometric difference equation on the…