GATE EC 2019 Set 1 — Question 11
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Engineering Mathematics → Complex Analysis → Analytic Functions
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Question
Which one of the following functions is analytic over the entire complex plane?
Correct answer
(D) cos(z)
Solution
A function is analytic over the entire complex plane if it is an entire function.
- (A) has a branch point at and is not analytic on a branch cut.
- (B) has an essential singularity at .
- (C) has a simple pole at .
- (D) is a sum of two entire functions ( and ), hence it is analytic everywhere in the complex plane.
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