Asymptotics and Mellin-Barnes Integrals

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

Asymptotics and Mellin-Barnes Integrals
Format
Hardback
Publisher
Cambridge University Press
Country
United Kingdom
Published
24 September 2001
Pages
440
ISBN
9780521790017

Asymptotics and Mellin-Barnes Integrals

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

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.

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