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- Distributional equation for Laguerre- Hahn functionals on the unit circlePublication . Branquinho, A.; Rebocho, M. N.Let u be a hermitian linear functional defined in the linear space of Laurent polynomials and F its corresponding Carathéodory function. [...]
- Characterizations of Laguerre-Hahn affne orthogonal polynomials on the unit circlePublication . Branquinho, A.; Rebocho, M. N.In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian linear functional [...]
- On differential equations for orthogonal polynomials on the unit circlePublication . Branquinho, A.; Rebocho, M. N.In this paper we characterize sequences of orthogonal polynomials on the unit circle whose corresponding Carathéodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of second order matrix differential equations.