39 citations · 104 across the 20 of their papers we have counts for
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On discrete coherent pairs of measures
R. Álvarez-Nodarse, K. Castillo, D. Mbouna +1
In [Castillo \& Mbouna, Indag. Math. {\bf 31} (2020) 223-234], the concept of -coherent pairs of order with index is introduced. This definition, implicitly relate…
On classical orthogonal polynomials related to Hahn's operator
R. Álvarez-Nodarse, K. Castillo, D. Mbouna +1
Let be a nonzero linear functional acting on the space of polynomials. Let be a Hahn operator acting on the dual space of polynomials. Suppose that the…
Uniform convergence of Fourier-Bessel series on a q-linear grid
L. D. Abreu, R. Álvarez-Nodarse, J. L. Cardoso
We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficien…
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 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…
Factorizacion of the hypergeometric-type difference equation on the uniform lattice
R. Álvarez-Nodarse, N. M. Atakishiyev, R. S. Costas-Santos
We discuss factorization of the hypergeometric-type difference equations on the uniform lattices and show how one can construct a dynamical algebra, which corresponds to each of th…