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Asymptotics and Mellin-Barnes Integrals

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Asymptotics and Mellin-Barnes Integrals Synopsis

Asymptotics and Mellin-Barnes Integrals, first published in 2001, provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behaviour of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in other standard references on asymptotics.

About This Edition

ISBN: 9780521790017
Publication date: 24th September 2001
Author: R. B. (University of Abertay, Dundee) Paris, D. (University of Lethbridge, Alberta) Kaminski
Publisher: Cambridge University Press
Format: Hardback
Pagination: 440 pages
Series: Encyclopedia of Mathematics and its Applications
Genres: Applied mathematics
Calculus and mathematical analysis