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3rd International ISAAC Congress
August 20-25, 2001
Freie Universitaet Berlin
Berlin, Germany

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A lower estimate for the growth of the first Painlevé transcendents
by
Shun Shimomura
Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan

For the first Painlevé transcendents, we give the estimate T(r, w) >> r5/2/logr. In the proof, a certain estimate for logarithmic derivatives of meromorphic functions is employed.

Date received: May 28, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahs-08.