Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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### Problem 3 Consider the following function \[ f(z) = \frac{e^z}{z(z-1)^2} \] Identify the singularities of \( f(z) \) and their type and find the residue of \( f(z) \) at each of the singularities. #### Instructions: For Problems 4-6, find the poles for the indicated functions. Identify the orders of each pole.
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Transcribed Image Text:### Problem 3 Consider the following function \[ f(z) = \frac{e^z}{z(z-1)^2} \] Identify the singularities of \( f(z) \) and their type and find the residue of \( f(z) \) at each of the singularities. #### Instructions: For Problems 4-6, find the poles for the indicated functions. Identify the orders of each pole.
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