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ANZIAM J.
44 (2002), 1-9 | ||
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Taming the movable singularities
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| Abstract | ||
We have finally obtained for each of the 6
Painlevés an expression of
 ,  ,  that behaves as
at each kind of movable singular point. This
expression is polynomial in
(at most quadratic), and rational in
and . 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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