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https://hdl.handle.net/10316/43967
Title: | On Laguerre–Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations | Authors: | Rebocho, Maria das Neves | Issue Date: | 2015 | Publisher: | Taylor & Francis | Project: | info:eu-repo/grantAgreement/FCT/5876/147205/PT | Serial title, monograph or event: | Integral Transforms and Special Functions | Volume: | 27 | Issue: | 2 | Abstract: | In this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthogonal polynomials on the unit circle, including a form of the discrete Painlevé equations dP_V. The technique is based on the knowledge of the first-order differential equation for the Carathéodory function, combined with a re-interpretation, in the formalism of matrix Sylvester equations, of compatibility conditions for the differential systems satisfied by the polynomials. | URI: | https://hdl.handle.net/10316/43967 | DOI: | 10.1080/10652469.2015.1092969 10.1080/10652469.2015.1092969 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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GITR-2015-0128_fv Rebocho_ITSF 08_09_15.pdf | 357.75 kB | Adobe PDF | View/Open |
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