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Special Functions : A Unified Theory Based on Singularities, Hardback Book

Hardback

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 valuable text and reference work.

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£262.50

 
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