Petersburg Department of Steklov Institute of Mathematics

PREPRINT 21/1997


Andrei A. Kapaev

Discriminant set for the scaling limits in the third Painlev\'e transcendent

This preprint was accepted November, 1997.
Contact: A.Kapaev

Abstract:
The scaling limits in the third Painlev\'e transcendent are considered from the point of view of the associated with P3 linear equation. The discriminant set for the scaling limits with the reductions of the third Painlev\'e equation to the second Painlev\'e equation and one-parametric reductions to the first Painlev\'e equation are described.

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