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On the radius of convexity and starlikeness of univalent functions
1972
Proceedings of the American Mathematical Society
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In this paper, the converses of the theorems of Bernardi (Trans. Amer. Math. Soc. 135 (1969), 429-446) for the subclasses of univalent functions, namely, starlike functions of order ß, convex functions of order ß and close-to-convex functions of type ß and order A have been derived. In particular, these results are sharp and contain the theorems of Padmanabhan (J. London Math. Soc. (2) 1 (1969) , 226-231) and Bernardi (Proc. Amer. Math. Soc. 24 (1970), 312-318) as special cases. (1.2)
doi:10.1090/s0002-9939-1972-0294617-8
fatcat:d3n3o2pljnbqlk4huhkkwb3dae