Hankel Transforms

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


Bessel functions have frequently occurred in our investigations of the Laplace and Fourier transforms; indeed, we could rewrite most of the formulas we have derived in terms of Bessel functions of order ±1/2, since (2x/π)1/2 K1/2(x) = exp(−x), with similar relations for sin(x) and cos(x). Furthermore, we noted in Problem 12.31 that the integral transform
$${F_v}(k) = \int_0^\infty {f(x){J_v}(kx)x\;dx} $$
has for its inverse the reciprocal formula
$$f(x) = \int_0^\infty {{F_v}} (k){J_v}(kx)\;k\;dk$$


Bessel Function Elementary Property Hankel Function Thin Elastic Plate Initial Temperature Distribution 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    For example, SNEDDON (1972).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