Conformal Invariants, Inequalities, and Quasiconformal Maps Volume 19
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More About This Title Conformal Invariants, Inequalities, and Quasiconformal Maps Volume 19
English
A unified view of conformal invariants from the point of view of applications in geometric function theory and applications and quasiconformal mappings in the plane and in space.
English
BASIC FUNCTIONS.
Hypergeometric Functions.
Gamma and Beta Functions.
Complete Elliptic Integrals.
The Arthimetric-Geometric Mean.
Quotients of Elliptic Integrals.
Elliptic Functions and Conformal Maps.
CONFORMAL AND QUASICONFORMAL MAPPINGS.
Geometry of Möbius Transformations.
Conformal Invariants.
Quasiconformal Mappings.
Distortion Functions in the Plane.
n-DIMENSIONAL FUNCTIONS.
The Grötzsch Ring Capacity.
Estimates for the Grötzsch Ring Constant.
Bounds for Distortion Functions.
APPLICATIONS.
Quadruples and Quasiconformal Maps.
Distances and Quasiconformal Maps.
Inequalities for Conformal Invariants.
Appendices.
References.
Index.
