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Asymptotics and Mellin-Barnes Integrals
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Asymptotics and Mellin-Barnes Integrals Hardcover - 2001

by R. B. Paris; D. Kaminski


From the publisher

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.

First line

Before venturing into our examination of Mellin-Barnes integrals, we present an overview of some of the basic definitions and ideas found in asymptotic analysis.

Details

  • Title Asymptotics and Mellin-Barnes Integrals
  • Author R. B. Paris; D. Kaminski
  • Binding Hardcover
  • Edition U.S. Edition
  • Pages 440
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 2001-09-24
  • Illustrated Yes
  • ISBN 9780521790017 / 0521790018
  • Weight 1.65 lbs (0.75 kg)
  • Dimensions 9.62 x 6.42 x 1.05 in (24.43 x 16.31 x 2.67 cm)
  • Library of Congress subjects Asymptotic expansions, Mellin transform
  • Library of Congress Catalog Number 00067492
  • Dewey Decimal Code 515.55

Media reviews

Citations

  • Choice, 07/01/2002, Page 1996
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Asymptotics and Mellin-Barnes Integrals (Encyclopedia of Mathematics and its Applications, Series Number 85)

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by Paris, R. B.; Kaminski, D

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