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 { z ∈ C : Re ( z ) > 0 } {\textstyle \{z\in \mathbb {C} \,:\,{\mbox{Re}}(z)>0\}} .

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)
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