The Inversion Integral

  • B. Davies
Part of the Applied Mathematical Sciences book series (AMS, volume 25)


Analytic information about the inversion integral is usually obtained by “closing the contour”, as in Section 2.4 for rational functions.


Asymptotic Expansion Branch Point LAPLACE Transform Simple Zero Asymptotic Series 
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  1. 1.
    For a discussion of the possible importance of exponentially small terms, see OLVER (1974), pp. 76–78.Google Scholar
  2. 2.
    If the expansion is convergent, then so is the inverse (39). See CARSLAW, JAEGER (1941), pp. 271–273.Google Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • B. Davies
    • 1
  1. 1.The Australian National UniversityCanberraAustralia

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