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- W2036510080 abstract "In the paper we consider the class Γ of analytic and univalent functions f in the unit disk Δ, normalized by f(0) = f′(0) − 1 = 0, having real coefficients and such that f(Δ) is convex in the direction of the real axis. We are especially interested in some subclasses of Γ. The most important of them is Γ(c) consisting of those functions which have the second coefficients of the Taylor expansion fixed and equal to c. We obtain the Koebe set for this class as well as for the classes Γ+(c) and Γ−(c) of functions which are in some sense convex in the direction of positive and negative axes respectively." @default.
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- W2036510080 date "2011-04-01" @default.
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- W2036510080 title "On functions convex in the direction of the real axis with a fixed second coefficient" @default.
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- W2036510080 doi "https://doi.org/10.1016/j.amc.2011.01.038" @default.
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