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

この図書・雑誌をさがす
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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