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Timeline for Comparing two power-series

Current License: CC BY-SA 4.0

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Aug 5, 2021 at 17:12 comment added Arkadij I would love to accept your question also, because I like your proof. But the combinatorial proof of esg is closer to what I imagined.
Aug 5, 2021 at 16:52 comment added Alex Gavrilov Definitely no way (for the calculation to make sense), but this is not a problem. The equality in question is a system of polynomial identities in the Taylor coefficients of $w$, so it is automatically extended to the case when $w$ is just a formal series. (A polynomial which is zero on an open set is zero everywhere.)
Aug 5, 2021 at 5:44 comment added Arkadij Is there a way to remove the requirements on analyticity and that $|w(z)|>|w(q)|$ when $|z|=R$?
Jul 27, 2021 at 12:18 history edited Alex Gavrilov CC BY-SA 4.0
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Jul 27, 2021 at 12:08 history answered Alex Gavrilov CC BY-SA 4.0