17 citations · 37 across the 10 of their papers we have counts for
12 papers
Laguerre-Sobolev orthogonal Polynomials and Boundary Value Problems on a semi-infinite domain
Cleonice F. Bracciali, Miguel A. Piñar
We study a family of Laguerre--Sobolev orthogonal polynomials associated with a Sobolev inner product arising from second--order boundary value problems on the semi--infinite inter…
Differential equations for a class of semiclassical orthogonal polynomials on the unit circle
Cleonice F. Bracciali, Karina S. Rampazzi, Luana L. Silva Ribeiro
We consider semiclassical orthogonal polynomials on the unit circle associated with a weight function that satisfy a Pearson-type differential equation involving two polynomials of…
R type three term relations for bivariate polynomials orthogonal with respect to varying weights
Cleonice F. Bracciali, Antonia M. Delgado, Lidia Fernández +1
Given a bivariate weight function defined on the positive quadrant of , we study polynomials in two variables orthogonal with respect to varying measures obtained by…
Centrosymmetric and reverse matrices in bivariate orthogonal polynomials
Cleonice F. Bracciali, Glalco S. Costa, Teresa E. Pérez
We introduce the concept of reflexive moment functional in two variables and the definition of reflexive orthogonal polynomial system. Also reverse matrices and their interesting a…
On semi-classical weight functions on the unit circle
Cleonice F. Bracciali, Karina S. Rampazzi, Luana L. Silva Ribeiro
We consider orthogonal polynomials on the unit circle associated with certain semi-classical weight functions. This means that the Pearson-type differential equations satisfied by…
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations
Cleonice F. Bracciali, Glalco S. Costa, Teresa E. Pérez
We study bivariate orthogonal polynomials associated with Freud weight functions depending on real parameters. We analyze relations between the matrix coefficients of the three ter…
Orthogonality of quasi-orthogonal polynomials
Cleonice F. Bracciali, Francisco Marcellán, Serhan Varma
A result of Pólya states that every sequence of quadrature formulas with nodes and positive numbers converges to the integral of a continuous function provi…
Christoffel formula for kernel polynomials on the unit circle
Cleonice F. Bracciali, Andrei Martínez-Finkelshtein, A. Sri Ranga +1
Given a nontrivial positive measure on the unit circle, the associated Christoffel-Darboux kernels are , $n \geq…
Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair
Cleonice F. Bracciali, Jairo S. Silva, A. Sri Ranga
When a measure on the real line is subjected to the modification , then the coefficients of the recurrence relation of the orthogonal polynomia…
Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences
Cleonice F. Bracciali, Jairo S. Silva, A. Sri Ranga +1
It was shown recently that associated with a pair of real sequences , with a positive chain seque…
Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas
Cleonice F. Bracciali, Alagacone Sri Ranga, Anbhu Swaminathan
When a nontrivial measure on the unit circle satisfies the symmetry then the associated OPUC, say , are all real. In this case, Delsarte a…
A class of orthogonal functions given by a three term recurrence formula
Cleonice F. Bracciali, John H. McCabe, Teresa E. Pérez +1
The main goal in this manuscript is to present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This cl…