Theorem 12.20 (A Repeated Linear Factors).  If are polynomials of degree , respectively and   and  ,  then equation (12.36) becomes   

(12.38)            ,  

where    is the sum of all partial fractions that do not involve factors of the form  .  Furthermore, the coefficients    can be computed with the formula  .  

Proof.

Proof of Theorem 12.20.

Proof of Theorem 12.20 is in the book.

Complex Analysis for Mathematics and Engineering

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