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C^*


The Riemann sphere C^*=C union {infty}, also called the extended complex plane. The notation C^^ is sometimes also used (Krantz 1999, p. 82).

The notation C^* is also used to denote the punctured plane C-{0}.


See also

C, Complex Number, Complex Plane, Extended Complex Plane, Punctured Plane, Q, R, Riemann Sphere, Z

Portions of this entry contributed by Todd Rowland

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References

Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, 1999.

Cite this as:

Rowland, Todd and Weisstein, Eric W. "C^*." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/C-Star.html

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