Complex Analysis - Quiz 1

Say True or False

Any analytic function can be represented as a power series

• True

• False

• 1

• 0

• n

Say True or False

Every power series either converges or diverges

• True

• False

When will we say that a function f(z) is a periodic function?

• f(z+c)=f(c) for all z

• f(z+c)=f(z) for all z

• f(z+c)=f(-z) for all z

• f(z+c)=f(c) for all c

• (i) only

• (i) and (ii)

• (i) and (iii)

• (ii) and (iii)

• Yes

• No

Is the parametric equation of a curve is unique?

• Yes

• No

Which of the following functions is a single valued function?

• f(z)=z

• f(z)=z²

• f(z)=logz

Is the function log z is continuous on C?

• Yes

• No