Deformed Laguerre-Hahn orthogonal polynomials on the real line
We study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coefficients. We derive discrete dynamical systems, obtained as a result of deformations of the recurrence relation coefficients of the orthogonal polyn...
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| Formato: | preprint |
| Idioma: | eng |
| Publicado em: |
2020
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| Texto completo: | http://hdl.handle.net/10400.6/9003 |
| País: | Portugal |
| Oai: | oai:ubibliorum.ubi.pt:10400.6/9003 |
| Resumo: | We study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coefficients. We derive discrete dynamical systems, obtained as a result of deformations of the recurrence relation coefficients of the orthogonal polynomials related to the above referred Stieltjes functions. |
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