Holomorphic on C

morphism

But how is g defined on [2,5]?

I have to run so I'll leave you with a hint:

Let [itex]C = \{ z \in \mathbb C \mid |z-3.5| < 1 \}[/itex] and define [itex]g(z) = \frac{1}{2\pi i} \int_C \frac{f(w)}{w-z} dw[/itex] in C. Try to show that f and g agree off of [2,5].

morphism Recognitions: Homework Help Science Advisor	But how is g defined on [2,5]? I have to run so I'll leave you with a hint: Let [itex]C = \{ z \in \mathbb C \mid \|z-3.5\| < 1 \}[/itex] and define [itex]g(z) = \frac{1}{2\pi i} \int_C \frac{f(w)}{w-z} dw[/itex] in C. Try to show that f and g agree off of [2,5].