This book gives an introduction to the modern theory of special functions. It focuses on the nonlinear Painleve differential equation and its solutions, the so-called Painleve functions. It contains modern treatments of the Gauss hypergeometric differential equation, monodromy of second order Fuchsian equations and nonlinear differential equations near singular points.The book starts from an elementary level requiring only basic notions of differential equations, function theory and group theory. Graduate students should be able to work with the text."The authors do an excellent job of presenting both the historical and mathematical details of the subject in a form accessible to any mathematician or physicist." (MPR in "The American Mathematical Monthly" Marz 1992.
- ISBN10 3322901653
- ISBN13 9783322901651
- Publish Date 12 June 2012
- Publish Status Active
- Publish Country DE
- Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Imprint Springer-Verlag
- Format Paperback
- Pages 347
- Language English