Category:Definitions/Laurent Series

This category contains definitions related to Laurent Series.
Related results can be found in Category:Laurent Series.

Let $f: \C \to \C$ be a complex function.

Let $z_0 \in U \subset \C$ such that $f$ is analytic in $U \setminus \set {z_0}$.

A Laurent series is a summation:

$\ds \sum_{j \mathop = -\infty}^\infty a_j \paren {z - z_0}^j$

such that the summation converges to $f$ in $U \setminus \set {z_0}$.