New posts in Cauchy Integral Formula

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

If $f$ is a nonconstant entire function such that $|f(z)|\geq M|z|^n$ for $|z|\geq R$, then $f$ is a polynomial of degree atleast $n$.

Is there a theorem in Real analysis similar to Cauchy's theorem in Complex analysis?

Using Cauchy's integral formula to solve $\int_{|z| = 2} \frac{e^z}{z^2(z-1)}\,dz$

If $f$ is an entire function and $f(z) \not \in [0,1]$ for every $z$, then $f$ is constant

Integral with two different answers using real and complex analysis

Question on evaluating $\int_{C}\frac{e^{iz}}{z(z-\pi)}dz$ without the residue theorem

Double Integral Formula for Holomorphic Function on the Unit Disc (Complex Plain)

If $f$ is entire and $\lim_\limits{z\to\infty} \frac{f(z)}{z} = 0$ show that $f$ is constant