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The symmetric fourth Painleve hierarchy and associated special polynomials

Clarkson, Peter, Filipuk, Galina V. (2008) The symmetric fourth Painleve hierarchy and associated special polynomials. Studies in Applied Mathematics, 121 (2). pp. 157-188. ISSN 0022-2526. (doi:10.1111/j.1467-9590.2008.00410.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:12925)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL
http://dx.doi.org/10.1111/j.1467-9590.2008.00410.x

Abstract

In this paper two families of rational solutions and associated special polynomials for the equations in the symmetric fourth Painlevé hierarchy are studied. The structure of the roots of these polynomials is shown to be highly regular in the complex plane. Further representations are given of the associated special polynomials in terms of Schur functions. The properties of these polynomials are compared and contrasted with the special polynomials associated with rational solutions of the fourth Painlevé equation.

Item Type: Article
DOI/Identification number: 10.1111/j.1467-9590.2008.00410.x
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Peter Clarkson
Date Deposited: 11 Mar 2009 15:59 UTC
Last Modified: 16 Nov 2021 09:50 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/12925 (The current URI for this page, for reference purposes)
Clarkson, Peter: https://orcid.org/0000-0002-8777-5284
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