Definition:Isolated Singularity/Complex Function
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Definition
Let $U \subseteq \C$ be an open set.
Let $f : U \to \C$ be a holomorphic function.
An isolated singularity of $f$ is a point $z_0 \in \C$ for which $U$ is a punctured neighborhood.
Also see
- Results about isolated singularities can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): isolated singularity
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): singular point (singularity): 1.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): isolated singularity
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): singular point (singularity): 1.
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): isolated singularity