Complex infinity is an infinite number in the complex plane whose complex argument is unknown or
undefined. Complex infinity may be returned by the Wolfram
Language, where it is represented symbolically by ComplexInfinity.
The Wolfram Functions Site uses the notation 
to represent complex infinity.
Complex Infinity
See also
C-*, Directed Infinity, Division by Zero, Extended Complex Plane, Indeterminate, Infinity, Point at Infinity, Riemann Sphere, UndefinedRelated Wolfram sites
http://functions.wolfram.com/Constants/ComplexInfinity/Explore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Complex Infinity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ComplexInfinity.html