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Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
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Mathematics Special Functions: A Unified Theory Based on Singularities (Oxford Mathematical Monographs)
Posted on 2010-04-13
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Author: Sergei Yu. Slavyanov, Wolfgang Lay
Publisher: Oxford University Press, USA (2000) Binding: Hardcover, 312 pages pricer: $309.99 ISBN-10: 0198505736 editorialreviews 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. checked
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