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https://hdl.handle.net/10316/44393
Title: | Differential equations for families of semi-classical orthogonal polynomials within class one | Authors: | Filipuk, Galina Rebocho, Maria das Neves |
Issue Date: | 2018 | Publisher: | Elsevier | Project: | info:eu-repo/grantAgreement/FCT/5876/147205/PT | Serial title, monograph or event: | Applied Numerical Mathematics | Volume: | 124 | Abstract: | In this paper we study families of semi-classical orthogonal polynomials within class one. We derive general second or third order ordinary differential equations (with respect to certain parameters) for the recurrence coefficients of the three-term recurrence relation of these polynomials and show that in particular well-known cases, e.g. related to the modified Airy and Laguerre weights, these equations can be reduced to the second and the fourth Painlevé equations. | URI: | https://hdl.handle.net/10316/44393 | DOI: | 10.1016/j.apnum.2017.10.002 10.1016/j.apnum.2017.10.002 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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Difeq class s=1 14_03_17_Revision.pdf | 366.78 kB | Adobe PDF | View/Open |
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