Recent questions tagged analytic-functions

Let $z=x+iy$ be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements...

The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is$e^{y} \cos( x )$$e^{-y} \sin( x )$$-e^{y} \s...