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Item Details
Title: SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS
By: Richard Beals, Roderick S. C. Wong
Format: Hardback

List price: £71.99
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ISBN 10: 1107106982
ISBN 13: 9781107106987
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 17 May, 2016
Series: Cambridge Studies in Advanced Mathematics 153
Pages: 488
Description: A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.
Synopsis: The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painleve transcendents, which have been termed the 'special functions of the twenty-first century'.
Illustrations: 7 b/w illus. 430 exercises
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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