Handbook of Complex Analysis Geometric Function Theory

Preface (R. Kühnau).
Quasiconformal mappings in euclidean space (F.W. Gehring).
Variational principles in the theory of quasiconformal maps (S.L. Krushkal).
The conformal module of quadrilaterals and of rings (R. Kühnau).
Canonical conformal and quasiconformal mappings. Identities. Kernel functions (R. Kühnau).
Univalent holomorphic functions with quasiconform extensions (variational approach) (S.L. Krushkal).
Transfinite diameter, Chebyshev constant and capacity (S. Kirsch).
Some special classes of conformal mappings (T.J. Suffridge).
Univalence and zeros of complex polynomials (G. Schmieder).
Methods for numerical conformal mapping (R. Wegmann).
Univalent harmonic mappings in the plane (D. Bshouty, W. Hengartner).
Quasiconformal extensions and reflections (S.L. Krushkal).
Beltrami equation (U. Srebro, E. Yakubov).
The applications of conformal maps in electrostatics (R. Kühnau).
Special functions in Geometric Function Theory (S.-L. Qin, M. Vuorinen).
Extremal functions in Geometric Function Theory. Special functions. Inequalities (R. Kühnau).
Eigenvalue problems and conformal mapping (B. Dittmar).
Foundations of quasiconformal mappings (C.A. Cazacu).
Quasiconformal mappings in value-distribution theory (D. Drasin. A.A. Gol'dberg, P. Poggi-Corradini).