39 citations · 104 across the 20 of their papers we have counts for
6 papers · 1 filter
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 limit of non-standard q-Racah polynomials
R. Alvarez-Nodarse, R. Sevinik-Adiguzel
The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual q-Hahn, and q-Hahn polynomials such that the orthogonality pro…
On the Properties of Special Functions on the linear-type lattices
R. Alvarez-Nodarse, J. L. Cardoso
We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order l…
The q-Racah-Krall-type polynomials
R. Alvarez-Nodarse, R. Sevinik-Adiguzel
In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the \textit{standard} -Racah polynomials are introduced. Several…
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…
Ratchet effect on a relativistic particle driven by external forces
Niurka R. Quintero, Renato Alvarez-Nodarse, José A. Cuesta
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formall…