Geodesic
Kaplan classes of a certain family of functions
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 74 (2020) no. 2.

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We give the complete characterization of members of Kaplan classes of products of power functions with all zeros symmetrically distributed in 𝕋 := {z ∈ℂ : |z| = 1} and weakly monotonic sequence of powers. In this way we extend Sheil-Small’s theorem. We apply the obtained result to study univalence of antiderivative of these products of power functions.
Keywords: Kaplan classes, univalence, close-to-convex functions, critical points 
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Ignaciuk, Szymon; Parol, Maciej. Kaplan classes of a certain family of functions. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 74 (2020) no. 2. http://geodesic.mathdoc.fr/item/AUM_2020_74_2_a5/

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