A Very Simple Method of Finding the Residues at Repeated Poles of a Rational Function in z−1
If you have followed the last chapter carefully, this one would be a cakewalk! The two discussions are similar except for the variables. A very simple method is given for finding the residues at repeated poles of a rational function in z −1. Compared to the multiple differentiation formula given in most textbooks, and several other alternatives, this method appears to be the simplest and the most elegant. It requires only a long division preceded by a small amount of processing of the given function.
KeywordsPartial fraction expansion Repeated poles New method
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