Special Functions - A Unified Theory Based on Singularities

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 valuable text and reference work.

Product details

• Authors: Wolfgang Lay, S Iu Slavianov, S. Iu Slavianov, S.yu Lay Slavyanov, Sergei Yu Slavyanov, Sergei Yuryevitsh Slavyanov, Sergei Yuryevitsh (St Petersburg State Slavyanov, Sergei Yuryevitsh Lay Slavyanov
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 01.10.2000
• EAN: 9780198505730
• ISBN: 978-0-19-850573-0
• No. of pages: 312
• Series: Oxford Mathematical Monographs; Oxford Mathematical Monographs
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis