Painlevé Differential Equations in the Complex Plane
Download or Read eBook Painlevé Differential Equations in the Complex Plane PDF written by Valeriĭ Ivanovich Gromak and published by Walter de Gruyter. This book was released on 2002 with total page 313 pages. Available in PDF, EPUB and Kindle.
Author | : Valeriĭ Ivanovich Gromak |
Publisher | : Walter de Gruyter |
Total Pages | : 313 |
Release | : 2002 |
ISBN-10 | : 9783110173796 |
ISBN-13 | : 3110173794 |
Rating | : 4/5 (96 Downloads) |
Book Synopsis Painlevé Differential Equations in the Complex Plane by : Valeriĭ Ivanovich Gromak
Book excerpt: 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.