Category:Complex Power Series

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This category contains results about Complex Power Series.


Let $\xi \in \C$ be a complex number.

Let $\sequence {a_n}$ be a sequence in $\C$.


The series $\displaystyle \sum_{n \mathop = 0}^\infty a_n \paren {z - \xi}^n$, where $z \in \C$ is a variable, is called a (complex) power series in $z$ about the point $\xi$.