7 problems.
- \(\int_0^\infty\frac{\sqrt{x}}{(x+1)^2}\,dx\)
- Unique fixed point of \(ce^z\) on \(\{\operatorname{Re} z<1\}\) when \(|c|<1/3\)
- A bound on the difference quotient of a holomorphic function on a half-radius disc
- Power series of radius \(1\): convergence on \(S^1\) versus analyticity at every point of \(S^1\)
- Implicit function for \(x^2-2y+y^3=0\) over \(\mathbb{R}\) and \(\mathbb{C}\)
- Meromorphic functions real on the circle, or a conformal map onto an annulus
- Uniform continuity of \(z^2\) and Hadamard’s example for Laplace’s equation