Symbols:C/Extended Complex Plane

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Extended Complex Plane

$\overline \C$

The extended complex plane $\overline \C$ is defined as:

$\overline \C := \C \cup \set \infty$

that is, the set of complex numbers together with the point at infinity.

The $\LaTeX$ code for \(\overline \C\) is \overline \C  or \overline {\mathbb C} or \overline {\Bbb C}.


Variant

The variant $\C_\infty$ can often be seen:

$\C_\infty$

The extended complex plane:

$\C_\infty := \C \cup \set \infty$


The $\LaTeX$ code for \(\C_\infty\) is \C_\infty  or \mathbb C_\infty or \Bbb C_\infty.