Special Functions : A Unified Theory Based on Singularities (Oxford Mathematical Monographs)
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Book 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 Painlev'e 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.
Special Functions: A Unified Theory Based on Singularities (Oxford Mathematical Monographs),Sergei Yu. Slavyanov,Wolfgang Lay,Oxford University Press, USA,0198505736,Algebra - Abstract,Applied,Functional Analysis,Functions, Special,Mathematical Analysis,Mathematics,Science/Mathematics,Theory Of Functions,Applied mathematics,Calculus & mathematical analysis,Mathematics / Applied,Mathematics | Applied Mathematics
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