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Mathematics Special Functions - A Unified Theory Based on Singularities (Oxford Mathematical Monographs) by Sergei Yu. Slavyanov

Posted on 2012-07-18




Name:Mathematics Special Functions - A Unified Theory Based on Singularities (Oxford Mathematical Monographs) by Sergei Yu. Slavyanov
ASIN/ISBN:0198505736
Publisher: Oxford University Press, USA (November 16, 2000)
ISBN: 0198505736
Pages: 312
File Size: 2.58 MB
Other Info: DJVU
   Mathematics Special Functions - A Unified Theory Based on Singularities (Oxford Mathematical Monographs) by Sergei Yu. Slavyanov



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Special Functions - A Unified Theory Based on Singularities (Oxford Mathematical Monographs) by Sergei Yu. Slavyanov

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 useful text and reference work.



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