Asymptotics and Mellin-Barnes Integrals

Asymptotics and Mellin-Barnes Integrals

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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.Newton diagram for lv5 + .v\vi + xy + 3agt;1 showing the line m = n and the distance d to the Newton diagram. The back face has also been drawn, connecting the vertices (^. 0) = (5. 0) and (0, v) = (0. 5). Extension to functions of three or moreanbsp;...

Title:Asymptotics and Mellin-Barnes Integrals
Author:R. B. Paris, D. Kaminski
Publisher:Cambridge University Press - 2001-09-24


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