Jenkins' Theorem

A theorem in the theory of univalent conformal mappings of families of domains on a Riemann surface, containing an inequality for the coefficients of the mapping functions, as well as conditions to be satisfied by the function so that the inequality becomes an equality. Jenkins' theorem is an exact expression and generalization of Teichmüller's Principle (Jenkins 1958, 1964).

See also

Conformal Mapping, Teichmüller's Principle

This entry contributed by Ronald M. Aarts

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Jenkins, J. A. Univalent Functions and Conformal Mapping. New York: Springer-Verlag, 1958.Jenkins, J. A. "Some Area Theorems and a Special Coefficient Theorem." Illinois J. Math. 8, 80-99, 1964.

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Jenkins' Theorem

Cite this as:

Aarts, Ronald M. "Jenkins' Theorem." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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