Painlev Differential Equations in the Complex Plane is popular PDF and ePub book, written by Valerii I. Gromak in 2008-08-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Painlev Differential Equations in the Complex Plane can be Read Online from any device for your convenience.
Painlev Differential Equations in the Complex Plane Book PDF Summary
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 separately for each of these six equations. The final chapter offers a short overview of applications of Painlevé 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.
Detail Book of Painlev Differential Equations in the Complex Plane PDF
- Author : Valerii I. Gromak
- Release : 22 August 2008
- Publisher : Walter de Gruyter
- ISBN : 9783110198096
- Genre : Mathematics
- Total Page : 313 pages
- Language : English
- PDF File Size : 11,7 Mb
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