I'm self-studying complex analysis. Could someone please help me get this problem started?
I know an analytic function will satisfy the Cauchy-Riemann equations, but I only know the modulus of the function. I have no idea how to proceed
I'm self-studying complex analysis. Could someone please help me get this problem started?
I know an analytic function will satisfy the Cauchy-Riemann equations, but I only know the modulus of the function. I have no idea how to proceed
Hint: $x^2 + y^2 = |z^2|$, and $e^{x} = |e^z|$, where $z = x+iy$.