8 problems.
- \((z-1)/(z+1)\) maps the first quadrant onto the upper half-disk
- Harmonic conjugate of a \(C^3\) harmonic function on a disc
- (a) \(f: D\rightarrow {\mathbb C}\) be a continuous function, where
- Polynomial growth of entire functions and Liouville for bounded real part
- All roots of \(z^7-5z^3+12\) lie between \(|z|=1\) and \(|z|=2\)
- Hurwitz: a locally uniform limit of injective analytic functions is injective or constant
- Hyperbolic derivative of \(\operatorname{Aut}(\Delta)\) and two fixed points imply the identity
- Residue at a pole of order \(m\) as \(\lim_{\tau\to a}\frac{d^{m-1}}{d\tau^{m-1}}\bigl((\tau-a)^m F(\tau)\bigr)\), and \(\oint_{|z|=4}\frac{e^\tau}{(\tau^2+\pi^2)^2}\,d\tau\)