Special Functions : A Unified Theory Based on Singularities
Book Details
Format
Hardback or Cased Book
Book Series
Oxford Mathematical Monographs
ISBN-10
0198505736
ISBN-13
9780198505730
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 7th, 2000
Print length
312 Pages
Weight
616 grams
Dimensions
23.80 x 16.20 x 2.90 cms
Product Classification:
AlgebraApplied mathematicsMaths for scientistsMaths for engineers
Ksh 54,900.00
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Presenting the topic of special functions in a different perspective, 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, along with many tables and figures that help the readers find their way through the subject.
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 valuable text and reference work.
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