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Zbl 0712.30021
Ren, Fuyao; Owa, Shigeyoshi; Fukui, Seiichi
Some inequalities on quasi-subordinate functions. (English)
[J] Bull. Aust. Math. Soc. 43, No.2, 317-324 (1991). ISSN 0004-9727

A function g is said to be quasi-subordinate to f in the unit disc U if there exist the functions $\Phi$ and W $(\vert \Phi (z)\vert <1$, $\vert W(z)\vert <1$, $\Phi (0)=W(0)=0)$ analytic in U, such that $g(z)=\Phi (z)f(W(z))$. In this paper the authors give some coefficient estimations for quasi-subordinate functions in U. At the end of the paper the authors formulate some conjecture related to coefficients of quasi-subordinate functions.
[S.Walczak]

MSC 2000:: *30C80 Maximum principle, etc. (one complex variable)
30C50 Coefficient problems for univalent and multivalent functions

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