Mellin Transforms

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

Abstract

In this and the next two sections we study the Mellin transform, which, while closely related to the Fourier transform, has its own peculiar uses. In particular, it turns out to be a most convenient tool for deriving expansions, although it has many other applications.

Keywords

Inversion Formula Double Pole Binomial Expansion Steady State Temperature Distribution Wedge Shaped Region 
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.

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Footnotes

  1. 1.
    See W. J. Harrington, SIAM Review (1967), 9, 542.MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    We write ℳ[f(r,θ); r → p] to indicate that r is the variable being integrated out to give a function of p.Google Scholar

Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • B. Davies
    • 1
  1. 1.Department of MathematicsThe Australian National UniversityCanberraAustralia

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