Radius of Ma-Minda starlikeness of certain normalised analytic functions

Priya G. Krishnan,V. Ravichandran,P. Saikrishnan

FILOMAT（2023）

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摘要

We find the radius of Ma-Minda starlikeness of normalised analytic functions of the form g(z) = z(f '(z))alpha, alpha > 0 where f is in the class CV[A, B] of Janowski convex functions and g(z) = z(z f '(z)/ f (z))alpha, alpha > 0 where f is in the class CV ' defined. As particular cases, we obtain criteria for these functions to belong to certain Ma-Minda classes.

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关键词

Univalent functions,starlike functions,convex functions,subordination,Janowski starlike functions,Janowski convex functions,radius of starlikeness

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