Geodesic
Some properties of the class \(\mathcal{U}\)
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 1.

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In this paper we study the class 𝒰 of functions that are analytic in the open unit disk D ={z : |z| 1}, normalized such thatf(0) = f'(0)-1 = 0 and satisfy |[z/f(z)]^2f'(z) - 1| 1   (z∈ D). For functions in the class 𝒰 we give sharp estimates of the second and the third Hankel determinant, its relationship with the class of α-convex functions, as well as certain starlike properties.
Keywords: Analytic, class \(\mathcal{U}\), starlike, \(\alpha\)-convex, Hankel determinant 
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Obradovic, Milutin; Tuneski, Nikola. Some properties of the class \(\mathcal{U}\). Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 1. http://geodesic.mathdoc.fr/item/AUM_2019_73_1_a6/

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