《Special Functions》是2000年出版的圖書，作者是Slavyanov, Sergei Yuryevitsh、Slavianov, S. Iu、Lay, Wolfgang。
基本介紹
- 中文名：Special Functions
- 作者：Slavyanov, Sergei Yuryevitsh、Slavianov, S. Iu、Lay, Wolfgang
- 語言：英語
- 出版時間：2000年10月
- ISBN：9780198505730
內容簡介
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 Painleve 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.
