
Special Functions
A Graduate Text
Cambridge University Press
Published on 12. August 2010
Book
Hardback
466 pages
978-0-521-19797-7 (ISBN)
Description
The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference.
Reviews / Votes
'One of the most remarkable facts of this book is its goal to be useful for self-study ... highly recommended textbook.' Mathematical Reviews 'Although there have been many monographs on special functions since Whittaker and Watson ['s A Course of Modern Analysis, 4th edition] we can anticipate that Beals and Wong will become a classic textbook for graduate students in math, applied math, and physics. Don't delay in becoming familiar with it!' SIAM ReviewMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 3 Line drawings, black and white
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 30 mm
Weight
823 gr
ISBN-13
978-0-521-19797-7 (9780521197977)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
approx. 11/2014
Cambridge University Press
Unfortunately, price unknown
Not yet published

E-Book
09/2010
1st Edition
Cambridge University Press
€49.99
Available for download

E-Book
08/2010
Cambridge University Press
€41.99
Available for download
Persons
Richard Beals is Professor Emeritus of Mathematics at Yale University. Roderick Wong is Professor of Mathematics and Vice President for Research at the City University of Hong Kong.
Content
Preface; 1. Orientation; 2. Gamma, beta, zeta; 3. Second order differential equations; 4. Orthogonal polynomials; 5. Discrete orthogonal polynomials; 6. Confluent hypergeometric functions; 7. Cylinder functions; 8. Hypergeometric functions; 9. Spherical functions; 10. Asymptotics; 11. Elliptic functions; References; Index.