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).

# Jenkins' Theorem

## See also

Conformal Mapping, Teichmüller's Principle
*This entry contributed by Ronald
M. Aarts*

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## References

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.

## Referenced on Wolfram|Alpha

Jenkins' Theorem## Cite this as:

Aarts, Ronald M. "Jenkins' Theorem." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/JenkinsTheorem.html