# Analyticity

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Suppose f is analytic on the disk |z|<1 and that f(0)=0. Let g(z)=f(z)/z. Then g is analytic on the region 0<|z|<1. How can you define g(0) to make g an analytic function on all of |z|<1? Briefly explain why the choice makes g analytic at 0.

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Suppose f is analytic on the disk |z|<1 and that f(0)=0. Let g(z)=f(z)/z. Then g is anaalytic on the region 0<|z|<1. How can you define g(0) to make g an ...

#### Solution Summary

This is a proof regarding analytic functions on a disk. The expert explains why the choice makes a function analytic.

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