Matrix Sylvester differential equations are introduced in the study of Laguerre-Hahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the Laguerre-Hahn orthogonal polynomials. Lax pairs are given, formed from the differential system and the recurrence relation, that yield discrete non-linear equations for the three term recurrence relation coefficients of the Laguerre-Hahn orthogonal polynomials.info:eu-repo/semantics/publishedVersio
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by m...
In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian li...
We study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogona...
Matrix Sylvester differential equations are introduced in the study of Laguerre–Hahn orthogonal poly...
We study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Ri...
A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying ...
In this paper we characterize sequences of polynomials on the unit circle, orthogonal with respect ...
Laguerre-Hahn families on the real line are characterized in terms of second order differential equ...
Laguerre–Hahn families on the real line are characterized in terms of second-order differential equa...
We study orthogonal polynomials related to Stieltjes functions satisfying Riccati type differential ...
In this paper we study recurrences for Laguerre-Hahn orthogonal polynomials of class one. It is sho...
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...
AbstractIn this paper we give a new scheme for deriving a non-linear system, satisfied by the three-...
AbstractIn this paper we give a new scheme for deriving a non-linear system, satisfied by the three-...
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by m...
In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian li...
We study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogona...
Matrix Sylvester differential equations are introduced in the study of Laguerre–Hahn orthogonal poly...
We study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Ri...
A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying ...
In this paper we characterize sequences of polynomials on the unit circle, orthogonal with respect ...
Laguerre-Hahn families on the real line are characterized in terms of second order differential equ...
Laguerre–Hahn families on the real line are characterized in terms of second-order differential equa...
We study orthogonal polynomials related to Stieltjes functions satisfying Riccati type differential ...
In this paper we study recurrences for Laguerre-Hahn orthogonal polynomials of class one. It is sho...
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...
AbstractIn this paper we give a new scheme for deriving a non-linear system, satisfied by the three-...
AbstractIn this paper we give a new scheme for deriving a non-linear system, satisfied by the three-...
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by m...
In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian li...
We study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogona...