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CSIR NET Mathematics 2022| Complex Analysis (5 OCTOBER)

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Question 1Multiple Correct Options

Let

and

denote some neighbourhood of z then which of the following statements is correct?

Question 2

Let f: ℂ

ℂ be analytic such that f (

) =

for n=1, 2….then

Question 3

The Loci of the point z satisfying

Question 4

Let

be an entire function such that

. Then which of the following is true?

Question 5

For a positive integer p, consider the holomorphic function

for z ∈

. For which values of p does there exist a holomorphic function such that f(z)=g’(z) for z ∈

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Oct 5CSIR NET & SET