The new criteria identify starlikeness in analytic functions, suggesting conditions for convexity and parameter influence.
It is well-known that the condition [1+zf''(z)/f'(z)]>0, z∈ D, implies that f is starlike function (i.e. convexity implies starlikeness). If the previous condition is not satisfied for every z∈, then it is possible to get new criteria for starlikeness by using |[α +zf''(z)/f'(z)]|, z∈ D, where α>1.
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Obradović et al. (2025) studied this question.
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