Asymptotics and Mellin-Barnes Integrals

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R. B. Paris (University of Abertay, Dundee) D. Kaminski (University of Lethbridge, Alberta)

Asymptotics and Mellin-Barnes Integrals

R. B. Paris (University of Abertay, Dundee), D. Kaminski (University of Lethbridge, Alberta)

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English

Cambridge University Press
23 November 2001

Mathematics & Sciences; Calculus & mathematical analysis; Applied mathematics

Series: Encyclopedia of Mathematics and its Applications

Asymptotics and Mellin-Barnes Integrals 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.

By: R. B. Paris (University of Abertay Dundee), D. Kaminski (University of Lethbridge, Alberta)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: No. 85
Dimensions: Height: 243mm, Width: 163mm, Spine: 28mm
Weight: 773g
ISBN: 9780521790017
ISBN 10: 0521790018
Series: Encyclopedia of Mathematics and its Applications
Pages: 438
Publication Date: 23 November 2001
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Asymptotics and Mellin-Barnes Integrals

'Asymptotics and Mellin-Barnes integrals by R. B. Paris and D. Kaminski is one of the first new, extended texts to be published in English since the recent advances began, and is a mixture of existing and novel techniques and applications. ... but the comprehensive nature of this work means that it is likely to become one of the most significant textbook references for Mellin-Barnes theory. Every university with physical scientists, engineers or mathematicians who use asymptotic expansions should have at least one copy of this book.' Bulletin of the London Mathematical Society This book is very valuable for the asymptotic community....It is the first book to contain a detailed introduction to hyperasymptotics. SIAM Review This book is a very welcome addition... I can highly recommend this book to anyone interested in asymptotics of integrals or in asymptotic methods for special functions. Mathematics of Computation