The Inversion Integral

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

Abstract

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

Keywords

Asymptotic Expansion Branch Point LAPLACE Transform Simple Zero Asymptotic Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Footnotes

  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

Personalised recommendations