Download or read book Painlevé Differential Equations in the Complex Plane 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. Book excerpt: Annotation Focusing on five of the 50 Painlev equations (two of which are modified to make the meromorphic like the others), Gromak (mathematics and mechanics, Belarussian State U., Belarus), Laine (mathematics, U. of Joensuu, Finland), and Shimomura (mathematics, Keio U., Japan) investigate their growth and value distributions. The core of the book is devoted to the integration of the equations in terms of elementary functions or some classical transcendental functions such as the Airy, Bessel, or hypergeometric functions, e.g. the Blcklund transformations. A final chapter describes some applications of the equations relevant to such areas as hydrodynamics, plasma physics, nonlinear optics, and solid state physics. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com).