On the successive coefficients of certain univalent functions

Mathematics – Complex Variables

Scientific paper

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Scientific paper

The object of this paper is to study relationship between successive
coefficients of some subclasses of the class of univalent functions in the unit
disk. the result obtained is sharp, and is used to provide a new, short proof
of the well-known conjecture of Robertson on the coefficients of
close-to-convex functions.

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