SPECIAL FUNCTIONS by Sergei Yuryevitsh Slavyanov, Wolfgang Lay ( 9780198505730 )

Item Details

Title:

SPECIAL FUNCTIONS
A UNIFIED THEORY BASED ON SINGULARITIES

By:

Sergei Yuryevitsh Slavyanov, Wolfgang Lay

Format:

Hardback

List price:

£262.50

Our price:

£229.69

Discount:

12.5% off

You save:

£32.81

ISBN 10:

0198505736

ISBN 13:

9780198505730

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Stock:

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Publisher:

OXFORD UNIVERSITY PRESS

Pub. date:

7 September, 2000

Series:

Oxford Mathematical Monographs

Pages:

312

Description:

The topic of special functions, normally presented as a mere collection of functions exhibiting particular properties, is treated from a fresh and unusual perspective in this book. The authors have based the special functions on the theory of second-order ordinary differential equations in the complex domain. Several physical applications are presented. Numerous tables and figures will help the reader find his way through the subject.

Synopsis:

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 valuable text and reference work.

Illustrations:

numerous line figures

Publication:

Imprint:

Oxford University Press

Returns:

Returnable

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