New posts in Complex Analysis

Find all entire functions $f$ such that $|f|$ is harmonic.

What is the sign of the integral $\int_{0}^{2\pi}e^{\sin(x)}\cos(nx)\,dx$?

Symbolic definition for $i$?

Regarding the roots of a quadratic polynomial

What is $\int_{\gamma}\int_{0}^{1} \frac{g(t) \, dt}{t-z}\,dz$ in terms of $I=\int_{[0,1]}g$ for a closed piecewise smooth curve $\gamma$.

Asymptotic behavior of a Fourier/Laplace transform

Existence of an analytic function on disk

If $f$ is complex analytic on $S=\{x+iy : |x|<1, |y|<1\}$, continuous on $\bar{S}$ and bounded by $1,2,3,4$ on each side, then is $|f(0)|>2$ possible?

Does the complex exponential function $\exp(z)$ have an axiomatic definition?

Complex analysis integral residuum