The relationship between semi-classical Laguerre polynomials and the fourth Painleve equation

dc.contributor.authorClarkson, P.A.
dc.contributor.authorJordaan, Kerstin Heidrun
dc.contributor.emailkerstin.jordaan@up.ac.zaen_US
dc.date.accessioned2013-09-25T06:14:24Z
dc.date.available2013-09-25T06:14:24Z
dc.date.issued2014-02
dc.description.abstractWe discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlev´e equation. We show that the coefficients in these recurrence relations can be expressed in terms of Wronskians of parabolic cylinder functions which arise in the description of special function solutions of the fourth Painlev´e equation.en_US
dc.description.librarianhb2013en_US
dc.description.sponsorshipLondon Mathematical Society for the support through a “Research in Pairs” grant.en_US
dc.description.urihttp://link.springer/journal/365en_US
dc.identifier.citationClarkson, PA & Jordaan, K 2014, 'The relationship between semi-classical Laguerre polynomials and the fourth Painleve equation', Constructive Approximation, vol. 39, no. 1, pp. 223-254.en_US
dc.identifier.issn0176-4276 (print)
dc.identifier.issn1432-0940 (online)
dc.identifier.other10.1007/s00365-013-9220-4
dc.identifier.urihttp://hdl.handle.net/2263/31788
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© Springer Science+Business Media New York 2013. The original publication is available at www.springerlink.comen_US
dc.subjectSemi-classical orthogonal polynomialsen_US
dc.subjectRecurrence coefficientsen_US
dc.subjectPainlev´e equationsen_US
dc.subjectWronskiansen_US
dc.subjectParabolic cylinder functionsen_US
dc.subjectHamiltoniansen_US
dc.titleThe relationship between semi-classical Laguerre polynomials and the fourth Painleve equationen_US
dc.typePostprint Articleen_US

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