A sharp form of the Ahlfors’ distortion theorem, with applications

Hamilton, D. H.

doi:10.1090/S0002-9947-1984-0732121-3

A sharp form of the Ahlfors’ distortion theorem, with applications
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by D. H. Hamilton PDF

Trans. Amer. Math. Soc. 282 (1984), 799-806 Request permission

Abstract:

The constant appearing in the asymptotic version of the Ahlfors’ distortion theorem is $1$. Also it is shown that for mean $1$-valent functions $f = z + {a_2}{z^2} \cdots \left \| {{a_{n + 1}}| - |{a_n}} \right \| \leqslant 1$ for $n \geqslant N(f)$.

References

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