Special Functions: A Graduate Text (Cambridge Studies in Advanced Mathematics, Series Number 126) - Hardcover

Beals, Richard; Wong, Roderick

Hardcover

ISBN 10: 052119797X ISBN 13: 9780521197977

Publisher: Cambridge University Press, 2010

Synopsis

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.

About this title

Book Description

This unique treatment answers the need for a new approach to the subject, which emphasises the general unifying principles and provides clear motivation, efficient proofs and original references. It serves as a graduate-level textbook or a convenient reference.

About the Author

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2010
• ISBN 10: 052119797X
• ISBN 13: 9780521197977
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 466