Basic functions: Hypergeometric Functions; Gamma and Beta Functions; Complete Elliptic Integrals; The Arithmetic-Geometric Mean; Quotients of Elliptic Integrals; Jacobian Elliptic Functions and Conformal Maps. Conformal and quasiconformal mappings: Geometry of M/bius Transformations; Conformal Invariants; Quasiconformal Mappings; Distortion Functions in the Plane. N-dimensional functions: The Gr/tzsch Ring Capacity; Estimates for the Gr/tzsch Ring Constant; Bounds for Distortion Functions. Applications: Quadruples and Quasiconformal Maps; Distances and Quasiconformal Maps; Inequalities for Conformal Invariants.
