Solution
= Solution
The Möbius map sends $|\zeta|=R$ to the imaginary axis and $\infty$ to $1$; testing one exterior point shows that $|\zeta|\gt R$ maps to $\Re w\gt 0$.
= Solution
The Möbius map sends $|\zeta|=R$ to the imaginary axis and $\infty$ to $1$; testing one exterior point shows that $|\zeta|\gt R$ maps to $\Re w\gt 0$.