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The growth of univalent functions with an initial gap II
Published online by Cambridge University Press: 10 April 2007
Abstract
We consider the class Sp of functions univalent in the unit disk Δ.
In [1] it was shown that if f∈Sp and p is large, (0.1) Here we show that there exists f in Sp for p=1,2,. . . such that where C0 is a positive absolute constant.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 2 , March 2007 , pp. 305 - 318
- Copyright
- Copyright © Cambridge Philosophical Society 2007
References
REFERENCES
[1]
Aharonov, D., Hayman, W. K. and Pommerenke, Ch.. The growth of univalent functions with an initial gap I. Math. Proc. Camb. Phil. Soc., 140 (2006), 305–312.CrossRefGoogle Scholar
[3]
Eremenko, A. and Hayman, W. K.. Univalent functions of fast growth with gap power series. Math. Proc. Camb. Phil. Soc.
127 (1999), 525–532.CrossRefGoogle Scholar
[4]
Hayman, W. K.. Multivalent Functions (2nd edition) (Cambridge University Press, 1994).CrossRefGoogle Scholar