Question
Download Solution PDFThe residues of a complex function
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Residue Theorem:
If f(z) is analytic in a closed curve C except at a finite number of singular points within C, then
Formula to find residue:
1. If f(z) has a simple pole at z = a, then
2. If f(z) has a pole of order n at z = a, then
Calculation:
Given:
Poles are simple and located at z = 0, z = 1, and z = 2
At z = 0, the residue is:
At z = 1, the residue is:
At z = 2, the residue is:
Last updated on Apr 14, 2023
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