GATE EE 2019 Set 1 — Question 14
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Engineering Mathematics → Complex Variables → Analytic Functions
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Question
Which one of the following functions is analytic in the region ?
Correct answer
(B) (z²-1)/(z+2)
Solution
A function is analytic in a region if it has no singularities (poles) within that region. The region is the unit disk .
- For (A), is a pole, which is inside the disk.
- For (B), is a pole, which is outside the disk ().
- For (C), is a pole, which is inside the disk.
- For (D), is a pole, which is inside the disk ().
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