Mellin Transforms

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


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.


Inversion Formula Double Pole Binomial Expansion Steady State Temperature Distribution Wedge Shaped Region 
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  1. 1.
    See W. J. Harrington, SIAM Review (1967), 9, 542.MathSciNetzbMATHCrossRefGoogle 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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