New posts in Complex Analysis

A tough definite integral using contour integration

How big can $U\subset\mathbb{C}$ be if there exists a non-constant holomorphic $f\colon U\to\mathbb{C}$ with $2f(2z)=f(z)+f(z+1)?$

Suppose that $f$ is an entire function satisfying $f(2z)=\frac{f(z)+f(z+1)}{2}$. Show that $f$ is constant.

Dominated convergence theorem and Cauchy's integral formula

Struggling to Understand Algorithm for Displaying Polynomial Matings with Julia Sets

Prove that $0$ is not an essential singularity (UW Madison Qualifying exam)

Complex Analysis Prelim Question

Bound for $\sum_{k=0}^{n}(-1)^k{3n\choose k}{n\choose k}$.

How to integrate $\int_0^\infty \left( \frac{\sin az}{z^2+1}\right)^2 dz$

Type of singularity in $\frac{1}{1-e^z}$