Thread: Holomorphic on C View Single Post
 Sci Advisor HW Helper P: 2,020 But how is g defined on [2,5]? I have to run so I'll leave you with a hint: Let $C = \{ z \in \mathbb C \mid |z-3.5| < 1 \}$ and define $g(z) = \frac{1}{2\pi i} \int_C \frac{f(w)}{w-z} dw$ in C. Try to show that f and g agree off of [2,5].