Special Functions: 71 (Encyclopedia of Mathematics and its Applications, Series Number 71) - Softcover

Andrews, George

Softcover

ISBN 10: 0521789885 ISBN 13: 9780521789882

Publisher: Cambridge University Press, 2010

Synopsis

An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.

About this title

Review:

'Occasionally there is published a mathematics book that one is compelled to describe as, well, let us say, special. Special Functions is certainly one of those rare books. ... this treatise ... should become a classic. Every student, user, and researcher in analysis will want to have it close at hand as she/he works.' The Mathematical Intelligencer

' ... the material is written in an excellent manner ... I recommend this book warmly as a rich source of information to everybody who is interested in 'Special Functions'.' Zentralblatt MATH

' ... this book contains a wealth of fascinating material which is presented in a user-friendly way. If you want to extend your knowledge of special functions, this is a good place to start. Even if your interests are in number theory or combinatorics, there is something for you too ... the book can be warmly recommended and should be in all good libraries.' Adam McBride, The Mathematical Gazette

' ... it comes into the range of affordable books that you want to (and probably should have on your desk'. Jean Mawhin, Bulletin of the Belgian Mathematical Society

'The book is full of beautiful and interesting formulae, as was always the case with mathematics centred around special functions. It is written in the spirit of the old masters, with mathemtics developed in terms of formulas. There are many historical comments in the book. It can be recommended as a very useful reference.' European Mathematical Society

'... full of beautiful and interesting formulae ... It can be recommended as a very useful reference.' EMS Newsletter

Book Description:

Presents an overview of the area of special functions, focusing on the hypergeometric functions and the associated hypergeometric series, such as the gamma and beta functions, Bessel functions, orthogonal polynomials, the Selberg integral and its applications, spherical harmonics, q-series, partitions, and Bailey chains. Particular emphasis is placed on formulas that can be used in computation.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2010
• ISBN 10: 0521789885
• ISBN 13: 9780521789882
• Binding: Paperback
• Number of pages: 682