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Taming the movable singularities

Published online by Cambridge University Press:  17 February 2009

Jarmo Hietarinta
Jarmo Hietarinta
Affiliation:
Department of Physics, University of Turku, FIN-20014 Turku, Finland; e-mail: Jarmo.Hietarinta@utu.fi.
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Abstract

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We have finally obtained for each of the 6 Painlevés an expression of z, w, w′ that behaves as 1/(z − Z0) + O(1) at each kind of movable singular point. This expression is polynomial in w′ (at most quadratic), and rational in w and z. After it is integrated and exponentiated it yields a function that has a simple zero at each of the singular points.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 1 , July 2002 , pp. 1 - 9
Copyright
Copyright © Australian Mathematical Society 2002

References

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