Use the Cauchy-Riemann equations to show that u' and v' are constant.
Hey guys. Heres my problem:
is holomorphic on and of the form where and are real functions, then with and .
Where is the coplex numbers and is the real numbers.
Earlier I've made an assignment where I show that if is holomorphic in a domain and is constant, then is constant. So I'm guessing I have to show that is constant, which then tells me that there exists some so , but I dont know how to do that.
If anyone could assist I would greatly appreciate it.