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Coefficient functionals and radius problems of certain starlike functions

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Ma–Minda class (of starlike functions) consists of normalized analytic functions [Formula: see text] defined on the unit disk for which the image of the function [Formula: see text] is contained… Click to show full abstract

Ma–Minda class (of starlike functions) consists of normalized analytic functions [Formula: see text] defined on the unit disk for which the image of the function [Formula: see text] is contained in some starlike region lying in the right-half plane. In this paper, we obtain the best possible bounds on some initial coefficients for the inverse functions of Ma–Minda starlike functions. Further, the bounds on the Fekete–Szegö functional and the second Hankel determinant are computed for such functions. In addition, some sharp radius estimates are also determined.

Keywords: certain starlike; starlike functions; coefficient functionals; problems certain; radius problems; functionals radius

Journal Title: Asian-European Journal of Mathematics
Year Published: 2021

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