Definition:Power Series/Center

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This page is about Center in the context of Power Series. For other uses, see Center.


Let $\ds \sum_{n \mathop = 0}^\infty a_n \size {x - \xi}^n$ be a power series.

The point $\xi$ is the center of $\ds \sum_{n \mathop = 0}^\infty a_n \size {x - \xi}^n$.

Linguistic Note

The British English spelling of center is centre.

The convention on $\mathsf{Pr} \infty \mathsf{fWiki}$ is to use the American English spelling center, but it is appreciated that there may be lapses.