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The function g defined by g(z) = 23 (z − (1 + i))³ - has a pole at the point z = 1+ i. State the order of this pole and calculate the residue.

The function g defined by g(z) = 23 (z − (1 + i))³ - has a pole at the point z = 1+ i. State the order of this pole and calculate the residue.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The function g defined by g(z) = 23 ; — (1 + i))³ has a pole at the point z = 1+ i. State the order of this pole and calculate the residue.
Transcribed Image Text:The function g defined by g(z) = 23 ; — (1 + i))³ has a pole at the point z = 1+ i. State the order of this pole and calculate the residue.
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