What is the imaginary part of this function?
$$\displaystyle\frac{-2\mu(x)-2\mu(iy)}{x^{2}+2xiy-y^{2}+b^{2}}$$
I need just the imaginary part for the equation of streamlines in a fluids question but I don't know how to get it as there is an i in the denominator.
Best Answer
Hint: Assuming $\mu$ is a real function and $b^2\in \Bbb R$, multiply by $\displaystyle 1=\frac{(x^2-y^2+b^2)-2xyi}{(x^2-y^2+b^2)-2xyi}$