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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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 282 (1984), 799-806
- MSC: Primary 30C50
- DOI: https://doi.org/10.1090/S0002-9947-1984-0732121-3
- MathSciNet review: 732121