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Substitution formulas for Laplace transformations

Substitution formulas for Laplace transformations

In the literature there are numerous scattered for special cases of the Laplace transforms of composite functions; i.e., for ? { k(t)F[g(t)] } involving ? { F(t) I explicitly. Formulas of this type are useful, for example, in extending existing tables. In the tables of Erdelyi, et al., [4] some …