Theorem 12.23 (Heaviside Expansion Theorem).  Let and be polynomials of degree m and n, respectively, where . If has n distinct simple zeros at the points  ,  then    is the Laplace transform of the function    given by

(12.44)        .  

Proof.

Proof of Theorem 12.23.

Proof of Theorem 12.23 is in the book.

Complex Analysis for Mathematics and Engineering

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