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Название: The generalized Stieltjes transform and its inverse
Автор: Schwarz J.H.
The generalized Stieltjes transform (GST) is an integral transform that depends on
a parameter r.0. In previous work a convenient form of the inverse transformation
was derived for the case r =3/2. This paper generalizes that result to all r
.0. It is a well-known fact that the GST can be formulated as an iterated Laplace
transform, and that therefore its inverse can be expressed as an iterated inverse
Laplace transform. The form of the inverse transform derived here is a onedimensional
integral that is considerably simpler.