The three-dimensional inverse Gaussian convolution kernel is expressed as a series over scalar Hermite polynomials, and those polynomials reduce to H_{2n+1}(r)/(2r).
Holmquist, The d-Variate Vector Hermite Polynomial of Order k , Linear Algebra Appl
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Deconvolution of 3-D Gaussian kernels
The three-dimensional inverse Gaussian convolution kernel is expressed as a series over scalar Hermite polynomials, and those polynomials reduce to H_{2n+1}(r)/(2r).