chapter  9
15 Pages

Finite laplace transforms

ByBaidyanath Patra

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 $$ F(s) = \mathop \smallint \limits_{0}^{\infty } f(t)e^{{ - st}} dt $$