Complex analysis is used in 2 major areas in engineering - signal processing and control theory. In signal processing, complex analysis and fourier analysis go hand in hand in the analysis of signals, …

Jul 14, 2022 · A Holomorphic Function is a complex function made of multiple variables such that the function is "complex differentiable". I am assuming that this is equivalent to a function being …

Dec 23, 2019 · The idea of a contour integral is a little weird at first but once you make the connection to line integrals it's fairly intuitive. I suggest you learn a little bit of topology since it shows up a bit in …

I am studying complex analysis and I have problem understanding the concept of branch cut. The lecturer draw this as some curve that starts from a point and goes on and on in some direction (for e...

The books that I have been using (Zill - Complex Analysis and Murray Spiegel - Complex Analysis) both expand the function as a Laurent series and then check the singularities. But how do I do this, if I use …

Dec 13, 2018 · Explore related questions complex-analysis complex-numbers mobius-transformation See similar questions with these tags.

Here is a definition from William T. Shaw's Complex Analysis with Mathematica: A path $\phi$ is a continuous mapping from a segment of the real axis into the complex numbers; i.e. $\phi: …

Dec 6, 2013 · The mean value theorem for holomorphic functions states that if $f$ is analytic in $D$ and $a \\in D$, then $f(a)$ equals the integral around any circle centered at ...

May 16, 2018 · The function is holomorphic save at $z=\pm1$. Unless $\alpha=1$ or $\alpha=-1$ then the residue is zero.

Explore related questions complex-analysis See similar questions with these tags.