Assume f (z) is analytic in region D and Γ is a rectifiable curve in D with interior in D. Prove that if f (z) is real for all \(z \in \Gamma\) , then \(f ( z )\) is a constant.
Analytic functions real on a closed curve are constant
P-TIE-F15-12
- Area
- Complex Analysis
- Status
- draft