Are you using Fourier or Hankel transforms with the wave equation? This article can help.

What is it about?

This article gives six kick-ass results for integrals needed for inverse Fourier or Hankel transforming expressions when using the wave equation in 1, 2 or 3 dimensions.

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Why is it important?

Single or multidimensional Fourier/Hankel transforms applied to the wave equation make manipulations easy. The hard part is inverse transforming back out of the Fourier/Hankel domain. This paper provides some integral results that help with this inverse transformation for a large class of problems. 1D, 2D polar and 3D spherical polar coordinates in particular are considered.