Power series in the complex plane

Power series in the complex plane
Tag	`0D6KXBHKC0`
URI	`m2://0D6KXBHKC0`
Aliases	`complex-power-series`, `power-series`
Kind	concept
Writing	W0 stub
MSC	30B10

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Summary

A power series is a series $\sum_{n \ge 0} a_n (z - c)^n$ with complex coefficients $a_n$ , a center $c$ and a complex variable $z$ , see the definition. It converges on a disc, and its sum is holomorphic there.

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Sources

Web https://en.wikipedia.org/wiki/Power_series, lead section

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Definitions

Power series in the complex plane 0VARVQ9ZW1