The coefficients of starlike functions

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Initial coefficients of starlike functions with real coefficients

The sharp bounds for the third and fourth coefficients of Ma-Minda starlike functions having fixed second coefficient are determined. These results are proved by using certain constraint coefficient problem for functions with positive real part whose coefficients are real and the first coefficient is kept fixed. Analogous results are obtained for a general class of close-to-convex functions

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On a Certain Subclass of Starlike Functions with Negative Coefficients

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1969

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1969-0251209-4