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).
Szeg¨ o,Orthogonal Polynomials, 4th edition (American Mathematical Society, Providence, 1975)
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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).