Pole (Complex Analysis)/Examples/z^2 + 1 over z
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Examples of Poles in the context of Complex Analysis
Let $f$ be the complex function:
- $\forall z \in \C \setminus \set 0: \map f z = \dfrac {z^2 + 1} z$
Then $f$ has:
- a simple pole at $z = 0$.
Sources
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): pole (in complex analysis)