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. We recall first that the Fourier transform pair can be written in the form


Inversion Formula Double Pole Hermite Function Complementary Error Function Binomial Expansion 


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  1. 1.
    See W. J. Harrington, SIAM Review (1967), 9, 542.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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