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Special Functions: A Unified Theory Based on Singularities

Special Functions: A Unified Theory Based on Singularities

by Slavyanov, Sergei Yu
No customer reviews yet ISBN 9780198505730 Oxford University Press

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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BrandOxford University Press
Pub dateNov 16, 2000
ISBN-100198505736
ISBN-139780198505730
Hardcover312.0 pages
LanguageEnglish
Dimensions9 × 0.9 × 5.9 in
Weight1 lb
Last updated 2026-09-28 07:46
$406.29
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