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Taming the movable singularities
Published online by Cambridge University Press: 17 February 2009
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.
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- Copyright © Australian Mathematical Society 2002
References
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