Ahh, I'm seeing that I should have written x+iy = re^{i\theta} , is this what you are hinting at?
Re-working through it all I get down to similar expressions for the C-R conditions above with 2 changing to 1, and the powers of r decreasing by 1. My conclusion above is still the same.
Hello all, I have the following problem from Complex Analysis that I would like for someone to check my understanding on:
Homework Statement
The problem is to find the derivative if it exists of
f(z) = \frac{e^{i\theta}}{r^2} = r^{-2}\cos \theta + i r^{-2}\sin \theta
where I have already...
I have received some admissions decisions from the graduate programs that I have applied to, and I am stuck with a tough decision to make. I am hoping to hear from those who may have found themselves in a similar situation or someone who may have relevant industry experience who can shed some...