Item description for Painleve Differential Equations in the Complex Plane (De Gruyter Studies in Mathematics) by V. I. Gromak, Ilpo Laine & Shun Shimomura...
This book is the first comprehensive treatment of Painlev differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed exposition of growth aspects and value distribution of Painlev transcendents. The subsequent main part of the book is devoted to topics of classical background such as representations and expansions of solutions, solutions of special type like rational and special transcen-dental solutions, Bcklund transformations and higher order analogues, treated separately for each of these six equations. The final chapter offers a short overview of applications of Pain-lev equations, including an introduction to their discrete counterparts. Due to the present important role of Painlev equations in physical applications, this monograph should be of interest to researchers in both mathematics and physics and to graduate students ! interested in mathematical physics and the theory of differential equations.
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Est. Packaging Dimensions: Length: 1" Width: 6.75" Height: 9.5" Weight: 1.4 lbs.
Publisher Walter de Gruyter
ISBN 3110173794 ISBN13 9783110173796
Availability 119 units. Availability accurate as of Mar 29, 2017 08:54.
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