mathjacks
Reputation
1,470
Next privilege 2,000 Rep.
 Apr 28 accepted Suppose $u,v \in \mathbb{C}$ are in the open unit disk. Is $|u|^n - |v|^n \leq |u - v|^n$? Apr 16 accepted Let $z=x+iy$. What is $\frac{\partial}{\partial x} \log|z-w|$ and $\frac{\partial}{\partial y} \log|z-w|$? Apr 4 accepted All solutions of $A^2+I=0$ in $M(n,\mathbb{C})$ are similar Apr 4 accepted Let $V$ be the space of complex polynomials on $[0,1]$. Is the differentiation operator self-adjoint? Mar 26 accepted What does it mean for a function to tend uniformly to $\infty$ on every compact set? Feb 23 accepted Let $f(z) = z^4 - 2z^3 + z^2$. Evaluate $\frac{1}{2\pi i} \int \frac{f'}{f} dz$ and $\int \frac{zf'}{f} dz$ Feb 17 accepted What is the form of the general mobius transformations that map the line $\Re(z)=2$ and the unit circle into concentric circles? Feb 9 accepted What general mobius transformation maps $|z-1|=1$ to itself and $|z+1|=1$ to $|w-3|=3$. Feb 3 accepted If $f$ is analytic in $D$ and \$|f(z)|