5 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…
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…
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…
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…