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.

/Morten