f(z) = c * |z|^n * (cos(n * arg(z)) + i * sin(n * arg(z))) = z^n * (cos(n * arg(z)) + i * sin(n * arg(z)))

1/f(r) = 1/(c * r^n)

f(r)^* = c^* * r^n

-f(r) = -c * r^n

f(r) = c * r^n = c^* * r^n