All Complex and Potential Analysis

Branches that study functions of a complex variable and the harmonic functions closely tied to them. An entry belongs here when its cited source describes holomorphic functions, contour integration and conformal maps, or the theory of harmonic and subharmonic functions and the Dirichlet problem. It does not belong here when the branch works only with real variables or treats functions as points in an abstract space, which are covered by the other analysis groups. The group reflects the way a single assumption of complex differentiability yields unusually rigid and powerful results.