Topic #18 ------------- OP-SF NET 8.6 ------------- November 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET Editor
Subject: New book on Asymptotics and Mellin-Barnes Integrals [From the web site: http://us.cambridge.org/mathematics/] Asymptotics and Mellin-Barnes Integrals Paris, R.B. and Kaminski, D. Cambridge University Press, 2001 SERIES: Encyclopedia of Mathematics and its Applications Hardback - ISBN: 0-521-79001-8; $95.00 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 behavior 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 standard references on asymptotics.