Add to ORKGAbstract: In this paper we characterize sequences of polynomials on the unit circle, orthogonal with respect to a Hermitian linear functional such that its corres-ponding Carathéodory function satisfies a Riccati differential equation with polyno-mial coefficients, in terms of matrix Sylvester differential equations. Furthermore, under certain conditions, we give a representation of such sequences in terms of semi-classical orthogonal polynomials on the unit circle. For the particular case of semi-classical orthogonal polynomials on the unit circle, a characterization in terms of first order differential systems is established
In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian li...
Abstract: In this work we characterize a monic polynomial sequence, orthogonal with respect to a her...
AbstractWe establish a bijection between Hermitian functionals on the linear space of Laurent polyno...
In this paper we characterize sequences of polynomials on the unit circle, orthogonal with respect ...
Abstract: In this paper we characterize sequences of orthogonal polynomials on the unit circle whose...
In this paper we characterize sequences of orthogonal polynomials on the unit circle whose correspo...
Abstract We establish a bijection between Hermitian functionals on the linear space of Laurent polyn...
AbstractWe establish a bijection between Hermitian functionals on the linear space of Laurent polyno...
In this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthog...
In this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthog...
AbstractStructure relations for orthogonal polynomials with respect to Hermitian linear functionals ...
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any m...
Matrix Sylvester differential equations are introduced in the study of Laguerre–Hahn orthogonal poly...
AbstractIn the study of orthogonal polynomials on the unit circle T, one can only state the orthogon...
Matrix Sylvester differential equations are introduced in the study of Laguerre-Hahn orthogonal pol...
In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian li...
Abstract: In this work we characterize a monic polynomial sequence, orthogonal with respect to a her...
AbstractWe establish a bijection between Hermitian functionals on the linear space of Laurent polyno...
In this paper we characterize sequences of polynomials on the unit circle, orthogonal with respect ...
Abstract: In this paper we characterize sequences of orthogonal polynomials on the unit circle whose...
In this paper we characterize sequences of orthogonal polynomials on the unit circle whose correspo...
Abstract We establish a bijection between Hermitian functionals on the linear space of Laurent polyn...
AbstractWe establish a bijection between Hermitian functionals on the linear space of Laurent polyno...
In this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthog...
In this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthog...
AbstractStructure relations for orthogonal polynomials with respect to Hermitian linear functionals ...
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any m...
Matrix Sylvester differential equations are introduced in the study of Laguerre–Hahn orthogonal poly...
AbstractIn the study of orthogonal polynomials on the unit circle T, one can only state the orthogon...
Matrix Sylvester differential equations are introduced in the study of Laguerre-Hahn orthogonal pol...
In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian li...
Abstract: In this work we characterize a monic polynomial sequence, orthogonal with respect to a her...
AbstractWe establish a bijection between Hermitian functionals on the linear space of Laurent polyno...