# Breton

 19h awarded Popular Question Nov 20 awarded Popular Question Nov 13 awarded Popular Question Aug 14 awarded Popular Question Apr 22 awarded Yearling Apr 22 awarded Yearling Nov 21 awarded Popular Question Jun 14 awarded Nice Question May 4 asked Find the saddle points $z_{1},z_{2}$ of $f(z)=\frac{(z - 1)^{2}(z + 1)}{z^{2}}$ May 4 accepted evaluate the integral $I= \int_{0}^{\infty} e^{ix^{2}}\, dx$ May 4 accepted Prove the equivalence May 4 accepted Find the power series expansion of $f(z)=z^2$ around $z = 2$ May 4 accepted Relative maximum and minimum of the modulus of a function May 4 awarded Critic May 4 accepted Proving that if $u \in A$ is an upper bound of $A$, then $u = \sup A$ May 4 accepted Consider $I_{\epsilon}=\oint_{C_{\epsilon}} z^{\alpha}f(z)dz$ May 4 accepted Use the principal branch of log z $\int_{-1}^{1} log z\, dz$ May 4 accepted Suppose a region S is simply connected and contains the circle May 4 accepted Show that $|\int_{C} \frac{1}{z^{3}+1}\, dz|\leq \frac{\pi}{3}(\frac{R}{R^{3}-1})$ May 4 accepted Finding closed forms for $\sum n z^{n}$ and $\sum n^{2} z^{n}$