書誌事項

Conformal invariants, inequalities, and quasiconformal maps

Glen D. Anderson, Mavina K. Vamanamurthy, Matti K. Vuorinen

(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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