Clarkson, P.A. (2005) Painlevé Equations and Associated Polynomials. In: Ismail, M.E.H. and Koelink, E., 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.
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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|
|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:||06 Jun 2008 11:51|
|Last Modified:||14 Jan 2010 14:11|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/3245 (The current URI for this page, for reference purposes)|
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