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Painlevé Differential Equations in the Complex Plane

Painlevé Differential Equations in the Complex Plane PDF Author: Valeriĭ Ivanovich Gromak
Publisher: Walter de Gruyter
ISBN: 3110173794
Category : Functions of complex variables
Languages : en
Pages : 313

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Book Description
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 transcendental solutions, Bäcklund transformations and higher order analogues, treated.