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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: be analytic such that f () = for n=1, 2….then

Question 3

The Loci of the point z satisfying is

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