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Special Functions: A Unified Theory Based on Singularities

Special Functions: A Unified Theory Based on Singularities

Hardcover

Series: Oxford Mathematical Monographs

AlgebraGeneral Mathematics

ISBN10: 0198505736
ISBN13: 9780198505730
Publisher: Oxford University Press
Published: Nov 16 2000
Pages: 312
Weight: 1.35
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics