Conformal invariants, inequalities, and quasiconformal maps
著者
書誌事項
Conformal invariants, inequalities, and quasiconformal maps
(Canadian Mathematical Society series of monographs and advanced texts)
Wiley, c1997
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注記
"A Wiely-interscience publication"
Includes bibliographical references (p. 481-501) and index
内容説明・目次
内容説明
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.
目次
- 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.
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