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CSIR NET Mathematics 2023| Complex Analysis ( 8 JUNE 2023)
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Question 1Multiple Correct Options
Let 
be the open unit disc. Consider the family F of all holomorphic maps f : D → D such that 
for f ∈ F, then impossible value of |f’(0)| are
be the open unit disc. Consider the family F of all holomorphic maps f : D → D such that for f ∈ F, then impossible value of |f’(0)| areQuestion 2Multiple Correct Options
Let 
Which of the following is /are false.
Which of the following is /are false.Question 3Multiple Correct Options
Let D = 
and 
. Define 
by 
. Then which of the following are true?
and . Define by . Then which of the following are true?
Question 4Multiple Correct Options
Let 
, 
be the positively oriented circle of radius 2 centered at the origin. The value of 
for which 
, be the positively oriented circle of radius 2 centered at the origin. The value of for which Question 5Multiple Correct Options
Consider the function f(z)=
.then which of following statements are true?
.then which of following statements are true?
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