On the coefficient problem for univalent functions.(Russian, English)Zbl 1016.30013

Sib. Mat. Zh. 43, No. 2, 472-481 (2002); translation in Sib. Math. J. 43, No. 2, 379-387 (2002).
Summary: We prove a criterion for analytic functions to belong to the classes $$S^{(p)}$$ and $$\Sigma^{(p)}$$ of univalent functions with $$p$$-multiple circular symmetry in terms of countable systems of exact coefficient inequalities. As a consequence we obtain a description for the corresponding domains of coefficients.

MSC:

 30C50 Coefficient problems for univalent and multivalent functions of one complex variable
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