The dispersion of the coefficients of univalent functions

Author:

Hamilton D. H.

Abstract

The Hayman T a {T_a} function for the asymptotic distribution of the coefficients of univalent functions has a continuous derivative which is closely related to the asymptotic behavior of coefficient differences.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

1. On functions which are regular and univalent in a half-plane;Bombieri, Enrico;Proc. London Math. Soc. (3),1965

2. On the local maximum property of the Koebe function;Bombieri, Enrico;Invent. Math.,1967

3. C. H. FitzGerald, Large late coefficients of univalent functions (to appear).

4. On successive coefficients of univalent functions;Hayman, W. K.;J. London Math. Soc.,1963

5. \bysame, On a conjecture of Littlewood, Proc. Amer. Math. Soc. (to appear).

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Coefficients of univalent functions with restricted maximum modulus;Complex Variables, Theory and Application: An International Journal;1986-03

2. Univalent functions with large late coefficients;Journal d'Analyse Mathématique;1982-12

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