The Mellin Transform

  • Brian Davies
Part of the Texts in Applied Mathematics book series (TAM, volume 41)


In this and the next chapter, 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 asymptotic expansions, although it has other applications.1


Asymptotic Expansion Inversion Formula Double Pole Hermite Function Binomial Expansion 


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  1. 1.
    For an account of many fascinating aspects of the Mellin transform and related topics, see B.W. Ninham, B.D. Hughes, N.E. Frankel, and M.L. Glasser, Physica A, 186 (1992), 441.MathSciNetCrossRefGoogle Scholar
  2. 2.
    W.J. Harrington, SIAM Review, 9 (1957, 542.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Brian Davies
    • 1
  1. 1.Mathematics Department, School of Mathematical SciencesAustralian National UniversityCanberraAustralia

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