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Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem.

Geometric function theory. --- Functions of complex variables. --- Complex variables --- Elliptic functions --- Functions of real variables --- Function theory, Geometric --- Functions of complex variables

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Geometry

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Boundary value problems --- Initial value problems --- Functions of complex variables --- Numerical analysis --- Congresses. --- Differential equations, Partial --- Congresses --- Differential equations, Partial - Congresses --- Functions of complex variables - Congresses