Painleve Differential Equations in the Complex Plane

Author/creator Gromak, V. I. Author
Other author Laine, Ilpo Author
Other author Shimomura, Shun Author
Format Electronic
Publication InfoNew York : Walter De Gruyter Incorporated
Descriptionviii, 303 p. ill 24.000 x 017.000 cm.
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects

SeriesDe Gruyter Studies in Mathematics Vol. 28
Summary Annotation Focusing on five of the 50 Painlev<'e> 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 Bl<:a>cklund 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)
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2002031158
ISBN9783110173796
ISBN3110173794 (Trade Cloth) Active Record
Stock number00007582

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