The fourth Painlevé equation and associated special polynomials

Clarkson, Peter (2003) The fourth Painlevé equation and associated special polynomials. Journal of Mathematical Physics, 44 (11). pp. 5350-5374. ISSN 0022-2488. (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1063/1.1603958

Abstract

In this article rational solutions and associated polynomials for the fourth Painlevé equation are studied. These rational solutions of the fourth Painlevé equation are expressible as the logarithmic derivative of special polynomials, the Okamoto polynomials. The structure of the roots of these Okamoto polynomials is studied and it is shown that these have a highly regular structure. The properties of the Okamoto polynomials are compared and contrasted with those of classical orthogonal polynomials. Further representations are given of the associated rational solutions in the form of determinants through Schur functions

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Peter A Clarkson
Date Deposited: 05 Jun 2008 11:25
Last Modified: 14 May 2014 13:58
Resource URI: http://kar.kent.ac.uk/id/eprint/3254 (The current URI for this page, for reference purposes)
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