On differential equations for orthogonal polynomials on the unit circle
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.
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| Formato: | preprint |
| Idioma: | eng |
| Publicado em: |
2020
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| Texto completo: | http://hdl.handle.net/10400.6/9008 |
| País: | Portugal |
| Oai: | oai:ubibliorum.ubi.pt:10400.6/9008 |
| Resumo: | 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. |
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