New posts in complex-analysis

Calculating $\int_{0}^{\infty}\sin(x^{2})dx$

Making a cube root function analytic on $\mathbb{C}\backslash [1,3]$

Calculate $\int_0^\infty\frac{\sin^3{x}}{e^x-1}\mathrm dx$

A complex approach to integral of cardinal sine [duplicate]

Is $f(z)$ a constant in $\Bbb{C}$?

Prove the existence of an analytic function

Good textbook for a first-course in Complex Analysis for independent study [duplicate]

If $|f|+|g|$ is constant on $D,$ prove that holomorphic functions $f,~g$ are constant on $D$.

What is the residue of this function, where both functions at denominator vanish?

Why does $z^3=0$ have 3 complex roots and not simply just $0$?

Linear fractional transformation fixing origin and preserving all distances

Implicit function theorem for several complex variables.

How much can we "cheat" and use vector knowledge in complex analysis?

On continuity of roots of a polynomial depending on a real parameter

What is the difference between complex differentiable and holomorphic functions at a point?

Real part of elliptic integral

Calculate Integral using residue theorem

To find the minimum value of $|z+1|+|z-1|+|z-i|$ where $z\in \Bbb C$.

How do I integrate these functions?

Find all $z$ such that $e^{2\pi i z}=1$