Special Functions: A Unified Theory Based on Singularities
- ISBN-10
- 0198505736
- ISBN-13
- 9780198505730
- Series
- Special Functions
- Category
- Mathematics
- Pages
- 322
- Language
- English
- Published
- 2000
- Publisher
- Oxford University Press on Demand
- Authors
- Sergeĭ IUrʹevich Slavianov, Wolfgang Lay
Description
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.
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Other editions
-
- 2018-03-23
- 304 pages
- Paperback
- MDPI
-
- 2011-03-01
- 392 pages
- Ebook
- John Wiley & Sons
-
- 2001-11-30
- 352 pages
- Paperback
- Springer Science & Business Media
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