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Painleve Differential Equations in the Complex Plane (De Gruyter Studies in Mathematics) [Hardcover]

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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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Item Specifications...

Pages   303
Est. Packaging Dimensions:   Length: 1" Width: 6.75" Height: 9.5"
Weight:   1.4 lbs.
Binding  Hardcover
Publisher   Walter de Gruyter
ISBN  3110173794  
ISBN13  9783110173796  

Availability  119 units.
Availability accurate as of Oct 24, 2016 06:51.
Usually ships within one to two business days from La Vergne, TN.
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More About V. I. Gromak, Ilpo Laine & Shun Shimomura

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
2Books > Subjects > Science > General
3Books > Subjects > Science > Mathematics > Applied > Differential Equations
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Mathematical Analysis

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