Rao coefficients for the solution of convolution integral equations
For the solution h(x) of the convolution integral equation f(x) = integral(-infinity)(infinity)h(y)g(x - y)dy, given the kernel function g(x) and the convolution function f(x), J.S. Rao derived a useful expression h(x) = Sigma(n)a(n)f((n))(x) in terms of recursively defined coefficients a(n). These coefficients are here explicitly evaluated up to order n = 20 in terms of moments mi of the kernel function g(x), and numerically evaluated for two general forms of the normal distribution. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
integral equations data analysis algorithms for spectral methods (computational analysis) deconvolution inversion