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Painlevé Equations and Associated Polynomials

Clarkson, Peter (2005) Painlevé Equations and Associated Polynomials. In: Ismail, Mourad E. H. and Koelink, Erik, eds. Theory and Applications of Special Functions: A Volume Dedicated to Mizan Rahman. Developments in Mathematics (13). Springer, Berlin, pp. 123-163. ISBN 978-0-387-24231-6. (doi:10.1007/0-387-24233-3_7) (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:3245)

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/10.1007/0-387-24233-3_7

Abstract

In this paper we are concerned with rational solutions and associated polynomials for the second, third and fourth Painlevé equations. These rational solutions are expressible as in terms of special polynomials. The structure of the roots of these polynomials is studied and it is shown that these have a highly regular structure.

Item Type: Book section
DOI/Identification number: 10.1007/0-387-24233-3_7
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: 06 Jun 2008 11:51 UTC
Last Modified: 16 Nov 2021 09:41 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/3245 (The current URI for this page, for reference purposes)
Clarkson, Peter: https://orcid.org/0000-0002-8777-5284
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