8 citations · 12 across the 5 of their papers we have counts for
6 papers
On Gegenbauer Point Processes on the unit interval
Carlos Beltrán, Antonia M. Delgado, Lidia Fernández +1
In this note we compute the logarithmic energy of points in the unit interval chosen from different Gegenbauer Determinantal Point Processes. We check that all the differe…
Darboux transformations from the Appell-Lauricella operator
Antonia M. Delgado, Lidia Fernández, Plamen Iliev
We define two isomorphic algebras of differential operators: the first algebra consists of ordinary differential operators and contains the hypergeometric differential operator, wh…
Multivariate Orthogonal Polynomials and Modified Moment Functionals
Antonia M. Delgado, Lidia Fernández, Teresa E. Pérez +1
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study…
Sobolev orthogonal polynomials on the unit ball via outward normal derivatives
Antonia M. Delgado, Lidia Fernández, Doron Lubinsky +2
We analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which involves the outward normal derivatives on the sphere. Using their re…
Orthogonal polynomials in several variables for measures with mass points
A. M. Delgado, L. Fernandez, T. E. Perez +2
Let be a measure in obtained from adding a set of mass points to another measure . Orthogonal polynomials in several variables associated with can be e…
On a two variable class of Bernstein-Szego measures
Antonia M. Delgado, Jeffrey S. Geronimo, Plamen Iliev +1
The one variable Bernstein-Szego theory for orthogonal polynomials on the real line is extended to a class of two variable measures. The polynomials orthonormal in the total degree…