# Command: GaussDiskConv

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Name:

    GaussDiskConv - Convolution of a Gaussian with an excentric disk

      Synopsis:R r0 GaussDiskConv -> result

      Description:Computes the convolution of an excentric normalized Gaussian
      with a disk

      C[R, r0] = IInt[ disk(rvec; R) * Gauss(rvec - r_0vec) d^2rvec ]
      = 2 Int[ r Exp[-r0^2-r^2] I_0[2 r r_0] dr, r=0..R]

      Parameters:R	 radius of the disk, centered at origin
      r0  distance of Gaussian center from origin

      Examples:SLI ] 3.2 2.3 GaussDiskConv =
      0.873191

      Author:H E Plesser

References:

    [1] G. T. Einevoll and P. Heggelund, Vis Neurosci 17:871-885 (2000).
      [2] Hans E. Plesser, Convolution of an Excentric Gaussian with a Disk,
      Technical Report, arken.nlh.no/ itfhep, 2002

FirstVersion:

    2002-07-12

      Remarks:This integral is needed to compute the response of a DOG model to
      excentric light spots, see [1].  For technicalities, see [2].  Requires GSL.

Source:

    /opt/conda/conda-bld/nest_1510212701067/work/nest-2.14.0/sli/specialfunctionsmodule.h

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