Complex Analysis2

• 1

• 0

• n

 A closed curve beyond which it is not possible to take analytic continuation is called

• Singularity

•  Open boundary

• Natural boundary

• Closed boundary

• 1

• 0

• 0.5

• 2

Let f(z) be a non constant elliptic function with zeroes 0,1 and 2. Then the number of poles of f(z) is

• 1

• 0

• 2

• 3

Identify the function with zero genus

A power series is uniformly convergent

• outside its circle of convergence

• within its circle of convergence

• on the boundary of circle of convergence

• in the whole domain

If a function f(z) is analytic in the entire complex plane then f(z) is called

• meromorphic function

• analytic continuation

• entire function

• ) none of these