@article{Tuck99,
   author =   {E.O. Tuck},
   title =    {Inversion of a generalised Hilbert transform},
   journal =  {J.~Austral. Math. Soc.~B},
   volume =   40,
   pages =    {E173--E187},
   year =     1999,
   number =   {E},
   month =    may,
   note =     {[Online] 
   \protect\url{http://jamsb.austms.org.au/V40/E013} [7 
               May 1999]},
   abstract = {An integral transform $H_y$ is defined which reduces to the 
               ordinary Hilbert transform $H_0$ when $y=0$, and is useful in 
               some hydrodynamic applications. Although $H_y$ does not seem to 
               be explicitly invertible for $y\ne0$ (in contrast to 
               $H_0^{-1}=-H_0$), it is readily invertible numerically for $y$ 
               less than a certain precision-dependent bound.},
}