Ma-Minda starlikeness of certain analytic functions
DOI:
https://doi.org/10.24193/subbmath.2025.1.02Keywords:
Univalent functions, starlike functions, convex functions, subordination, radius of starlikeness.Abstract
A normalized analytic function defined on the open unit disc D is called Ma-Minda starlike if zf ′(z)/f(z) is subordinate to the function φ. For a normalized convex function f defined on D and α > 0, we determine the radius of Ma-Minda starlikeness of the function g defined as g(z) = (zf ′(z)/f(z))α f(z) for certain choices of φ. In particular, we investigate the radius of Janowski starlikeness of the function g.References
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