ABSTRACT

Laplace transform of a piecewise continuous function f(t) for 0 ≤ t < ∞,  where |f(t)| < Me σt ,  M,  σ being real constants defined in section 3.3 by F ( s ) = ∫ 0 ∞ f ( t ) e - s t d t $$ F(s) = \mathop \smallint \limits_{0}^{\infty } f(t)e^{{ - st}} dt $$ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429503580/e8c17e8d-aa2b-4352-a3e7-8cf96212c2f8/content/math9_1.tif"/>