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Spline regularization of numerical inversion of Mellin transform

Iqbal M.

Foundations of Computing and Decision Sciences

2000

Vol. 25, No. 1

49-64

There is described a method for inverting the Mellin transform. In the method there are applied the expansion in Laguerre polynomials, the conversion to the Laplace transformation and a convolution integral equation. The quality of the method is testified for ill-posed problems considered in the literature.