7 problems.
- \(\int_0^\infty\frac{\cos x}{1+x^4}\,dx\)
- Compact convergence of analytic functions and their derivatives, and differentiation of power series
- Conformal map of the slit upper half-plane onto the disk
- Laurent series expansions in annuli
- Entire functions with \(f(z)\to\infty\) as \(z\to\infty\) are polynomials
- Schwarz lemma for holomorphic maps of the disk into the right half-plane: \(\bigl|\frac{f(z)-a}{f(z)+a}\bigr|\le|z|\) and \(|f'(0)|\le 2a\), also when \(\operatorname{Re}f\ge 0\)
- \(2^{n-1}\prod_{k=1}^{n-1}\sin(k\pi/n)=n\), polar Cauchy–Riemann equations, and holomorphy of \(\log z\)