∫c 1/√z dz where C is the equation |z - 3i| = 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3.Consider the following integral and answer

c 1/√z dz

where C is the equation |z - 3i| = 2.

(b) What can you say about the analyticity of the integrand with respect to the given curve C.
(c) Give the name of the theorem which you used to come up with your answer in (b) as a result of the answer found in (a) and also state it in full.

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