Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One
In this paper we study recurrences for Laguerre-Hahn orthogonal polynomials of class one. It is shown for some families of such Laguerre-Hahn polynomials that the coefficients of the three term recurrence relation satisfy some forms of discrete Painlevé equations, namely, dPI and dPIV .
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| Format: | preprint |
| Language: | eng |
| Published: |
2020
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| Online Access: | http://hdl.handle.net/10400.6/9001 |
| Country: | Portugal |
| Oai: | oai:ubibliorum.ubi.pt:10400.6/9001 |
| Summary: | In this paper we study recurrences for Laguerre-Hahn orthogonal polynomials of class one. It is shown for some families of such Laguerre-Hahn polynomials that the coefficients of the three term recurrence relation satisfy some forms of discrete Painlevé equations, namely, dPI and dPIV . |
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