GATE ME 2016 Set 1 — Question 13
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Engineering Mathematics → Complex Variables → Analytic Functions
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Question
is an analytic function of complex variable where . If , then may be expressed as
Correct answer
(A) -x² + y² + constant
Solution
For a function to be analytic, it must satisfy the Cauchy-Riemann equations:
1)
2) Given :
From (1):
From (2): Comparing the two expressions for , we get:
This corresponds to option (A).
1)
2) Given :
From (1):
From (2): Comparing the two expressions for , we get:
This corresponds to option (A).
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