- #1

- 98

- 0

## Homework Statement

i) Find a suitable formula for log z when z lies in the half-plane K that lies above the x-axis, and

from that show log is holomorphic on K

ii) Find a suitable formula for log z when z lies in the half-plane L that lies below the x-axis, and

from that show log is holomorphic on L.

## Homework Equations

## The Attempt at a Solution

I've found a formula log Z on wikipedia but not sure how to relate it to the half plane(s).