Abstract

AbstractThis paper studies analytic functionsfdefined on the open unit disk of the complex plane for whichf/gand (1 +z)g/zare both functions with positive real part for some analytic functiong. We determine radius constants of these functions to belong to classes of strong starlike functions, starlike functions of orderα, parabolic starlike functions, as well as to the classes of starlike functions associated with lemniscate of Bernoulli, cardioid, lune, reverse lemniscate, sine function, exponential function and a particular rational function. The results obtained are sharp.

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