Starlikeness of Analytic Functions with Subordinate Ratios

Rosihan M. Ali, Vaithiyanathan Ravichandran, Kanika Sharma and Ming-Sheng Liu

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: Let h be a nonvanishing analytic function in the open unit disc with h0=1. Consider the class consisting of normalized analytic functions f whose ratios fz/gz, gz/zpz, and pz are each subordinate to h for some analytic functions g and p. The radius of starlikeness of order α is obtained for this class when h is chosen to be either hz=1+z or hz=ez. Further, starlikeness radii are also obtained for each of these two classes, which include the radius of Janowski starlikeness, and the radius of parabolic starlikeness.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8373209

DOI: 10.1155/2021/8373209

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