The relationship between semi-classical Laguerre polynomials and the fourth Painleve equation
| dc.contributor.author | Clarkson, P.A. | |
| dc.contributor.author | Jordaan, Kerstin Heidrun | |
| dc.contributor.email | kerstin.jordaan@up.ac.za | en_US |
| dc.date.accessioned | 2013-09-25T06:14:24Z | |
| dc.date.available | 2013-09-25T06:14:24Z | |
| dc.date.issued | 2014-02 | |
| dc.description.abstract | We 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.librarian | hb2013 | en_US |
| dc.description.sponsorship | London Mathematical Society for the support through a “Research in Pairs” grant. | en_US |
| dc.description.uri | http://link.springer/journal/365 | en_US |
| dc.identifier.citation | Clarkson, 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.issn | 0176-4276 (print) | |
| dc.identifier.issn | 1432-0940 (online) | |
| dc.identifier.other | 10.1007/s00365-013-9220-4 | |
| dc.identifier.uri | http://hdl.handle.net/2263/31788 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | © Springer Science+Business Media New York 2013. The original publication is available at www.springerlink.com | en_US |
| dc.subject | Semi-classical orthogonal polynomials | en_US |
| dc.subject | Recurrence coefficients | en_US |
| dc.subject | Painlev´e equations | en_US |
| dc.subject | Wronskians | en_US |
| dc.subject | Parabolic cylinder functions | en_US |
| dc.subject | Hamiltonians | en_US |
| dc.title | The relationship between semi-classical Laguerre polynomials and the fourth Painleve equation | en_US |
| dc.type | Postprint Article | en_US |