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We have $f(z)=z+ \sum_{n=2}^{\infty} a_{n}z^{n}$ where $a_{n}$ is a constant and $g(z)=z$, $(f*g)(z)$ is equal to what? i still wondering to confirm that $(f*g)(z)=z$.

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Nothing special about $a_n$? –  J. M. Oct 21 '11 at 1:41
@J.M., it just a constant.. –  DRN Oct 21 '11 at 1:43
Can you write down a formula for $f*g$? –  AD. Oct 21 '11 at 4:28
Your solution is wrong. If you write out how you got there, someone may be able to tell you where you went wrong. Also, do you literally mean "$a_n$ is a constant" in the singular, or do you mean "the $a_n$ are constants"? –  joriki Oct 21 '11 at 9:56
@Norlyda. It is a homework question, or is it your conjecture? –  freak_warrior Nov 16 '13 at 10:26

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