Right half-plane

In complex analysis, the (open) right half-plane is the set of all points in the complex plane whose real part is strictly positive, that is, the set [math]\displaystyle{ \{z \in \Complex\, :\, \mbox{Re}(z) \gt 0\} }[/math].

An illustration of the right-half plane.

References

• Rudin, W., Real and Complex Analysis, 3 ed. (McGraw-Hill, 1986).
• Ahlfors, L., Complex Analysis, 3 ed. (McGraw-Hill, 1979).
• Kato, T., Perturbation theory for linear operators, 2 ed. (Springer-Verlag, 1995)