Special Functions: A Unified Theory Based on Singularities (Hardcover) (ISBN-13: 9780198505730)

The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.

Author: Sergei Yu Slavyanov, Wolfgang Lay
ISBN-10: 0198505736
ISBN-13: 9780198505730
Publisher: Oxford University Press, USA
Language: English
Published: 11/16/2000
Pages: 312
Format: Hardcover
Weight: 1.35lbs
Size: 9.21h x 6.14w x 0.75d

Review Citation(s):
Scitech Book News 06/01/2001 pg. 44