Corollary 12.1  (Differentiation of f(t) ).  If  [Graphics:Images/LaplaceDiffIntegrateMod_gr_5.gif]  are of exponential order, then  

        [Graphics:Images/LaplaceDiffIntegrateMod_gr_6.gif].  

Proof.

Proof of Corollary 12.1 is left for the reader in the book.

Complex Analysis for Mathematics and Engineering

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell