Convolution equation with a kernel represented by gamma distributions
The convolution integral equation is considered on the half-line and on a finite interval. Its kernel function is the distribution density of a random variable represented as a two-sided mixture of gamma distributions. The method of numerical-analytical solution of this equation is developed, and the solution of the homogeneous conservative equation on the half-line is constructed.
KeywordsConvolution operator factorization gamma distribution numerical-analytical solution homogeneous conservative equation
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