SIAM AG on Orthogonal Polynomials and Special Functions


Extract from OP-SF NET

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:]

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.

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