Showing Analytic Using Derivative Equation

• March 9th 2011, 06:04 PM
Porter1
Showing Analytic Using Derivative Equation

Suppose that F is analytic in a domain D. Define f by

f(z) = F(z) - F(zo)/ (z - zo)

if z ≠ zo and f(zo) = F'(zo), where zo is a point in D. Show that f is also analytic in domain D.
• March 10th 2011, 09:10 AM
girdav
You can use the power series of $F$.