Linked from

The 48 pages that link to Complex plane, each with the reason it gives.

• Holomorphic functionNarrower topic: Holomorphic functions are studied on open subsets of this plane.

• Euler's formulaNarrower topic: The identity turns an angle into a complex number positioned on this plane.

• Radius of convergenceNarrower topic: For complex power series, convergence regions are disks measured with complex distance.

• Root of unityNarrower topic: Plotting roots of unity reveals their equal spacing around the unit circle.

• Complex logarithmNarrower topic: Angles and distances in this plane determine the logarithm’s real and imaginary parts.

• Conformal mapNarrower topic: Planar conformal maps are commonly expressed as complex functions on this space.

• Complex differentiabilityNarrower topic: Approaching from every direction means approaching through this plane, not along a single real axis.

• Complex multiplicationNarrower topic: Multiplication acts geometrically on points in this plane through scaling and rotation.

• Complex modulusNarrower topic: The modulus measures a complex number’s distance from the plane’s origin.

• Julia setNarrower topic: Julia sets are subsets of this plane.

• Routh–Hurwitz stability criterionNarrower topic: Stability is decided by which side of its imaginary axis contains each root.

• Cauchy–Hadamard theoremNarrower topic: A complex power series converges on a disk measured by distance from its center.

• Gauss–Lucas theoremNarrower topic: Polynomial roots and their convex hull are interpreted as points and regions in this plane.

• Schwarz reflection principleNarrower topic: Reflection is geometric across a line or circle in this plane.

• Marden's theoremNarrower topic: Polynomial roots and their triangle are represented as points in this plane.