Special Functions: Group Theoretical Aspects and Applications: 18 (Mathematics and Its Applications, 18) - Softcover

Softcover

ISBN 10: 1402003196 ISBN 13: 9781402003196

Publisher: Springer, 2001

Synopsis

Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final question. G.K. Chesterton. The Scandal 'The Hermit Clad in Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

About this title

Review

`This book will become useful and important, not just as a handy place to locate a reference, but for the many thought-provoking ideas generously provided by the authors.'
Foundations of Physics, 16:9 (1986)

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.

Edition details

• Publisher: Springer
• Publication date: 2001
• ISBN 10: 1402003196
• ISBN 13: 9781402003196
• Binding: Paperback
• Language: English
• Number of pages: 352
• Editor: Askey R.A., Koornwinder Tom H., Schempp Walter J.