Painleve Differential Equations in the Complex Plane (De Gruyter Studies in Mathematics, 28) - V. I. Gromak, Ilpo Laine, Shun Shimomura, Klaus Heller (2002)
ISBN 3110173794
Subject Functions of complex variables; Painleve´ equations
Publisher Walter de Gruyter
Publication Date September 2002
Format Hardcover (243 x 174 mm)
Language e
This book is the first comprehensive treatment of Painlevé 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 Painlevé 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, Bäcklund transformations and higher order analogues, treated separately for each of these six equations. The final chapter offers a short overview of applications of Pain-levé equations, including an introduction to their discrete counterparts. Due to the present important role of Painlevé 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.
Personal Details
Collection Status In Collection
Index 110
Read It Yes
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Product Details
LoC Classification QA372 .G775 2002
Dewey 515/.352
Cover Price $89.95
No. of Pages 303