Hi all;

I need the solution of the following question

Suppose f is analytic function defined everywhere in C and such that for each \(\displaystyle z_{0}\) in C at least one coefficient in the expansion

\(\displaystyle f(z)=\sum_{n=0}^{\infty}c_{n}(z-z_{0})^n\)

is equal to 0. prove that f is polynomail

Kind regards

I need the solution of the following question

Suppose f is analytic function defined everywhere in C and such that for each \(\displaystyle z_{0}\) in C at least one coefficient in the expansion

\(\displaystyle f(z)=\sum_{n=0}^{\infty}c_{n}(z-z_{0})^n\)

is equal to 0. prove that f is polynomail

Kind regards

Last edited by a moderator: