Painleve Differential Equations in the Complex Plane

Painleve Differential Equations in the Complex Plane
Publisher: Walter de Gruyter | ISBN: 3110173794 | edition 2002 | File type: PDF | 303 pages | 1,4 mb

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.

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