54 citations · 118 across the 21 of their papers we have counts for
23 papers
A CMV connection between orthogonal polynomials on the unit circle and the real line
M. J. Cantero, F. Marcellán, L. Moral +1
M. Derevyagin, L. Vinet and A. Zhedanov introduced in Constr. Approx. 36 (2012) 513-535 a new connection between orthogonal polynomials on the unit circle and the real line. It map…
Discrete-Continuous Jacobi-Sobolev Spaces and Fourier Series
Abel Díaz-González, Francisco Marcellán-Español, Héctor Pijeira-Cabrera +1
Let , $\ell\in \NN$, and $\varpi=(ω_0,ω_1, \dots, ω_{\ell-1})\in \RR^{\ell}$. Given a suitable function , we define the discrete-continuous Jacobi-Sobolev norm…
semiclassical orthogonal polynomials via polynomial mappings
K. Castillo, M. N. De Jesus, F. Marcellán +1
In this work we study orthogonal polynomials via polynomial mappings in the framework of the semiclassical class. We consider two monic orthogonal polynomial sequences $\{p_n…
On Freud-Sobolev type orthogonal polynomials
Luis E. Garza, Edmundo J. Huertas, Francisco Marcellán
In this contribution we deal with sequences of monic polynomials orthogonal with respect to the Freud Sobolev-type inner product \begin{equation*} \left\langle p,q\right\rangle _{s…
Asymptotic behavior of varying discrete Jacobi--Sobolev orthogonal polynomials
Juan F. Mañas-Mañas, Francisco Marcellán, Juan J. Moreno-Balcázar
In this contribution we deal with a varying discrete Sobolev inner product involving the Jacobi weight. Our aim is to study the asymptotic properties of the corresponding orthogona…
On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation
K. Castillo, F. Marcellán, J. Rivero
By using the Szegő's transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky parameters of orthogo…