Theorems Regarding Starlikeness and Convexity
DOI:
https://doi.org/10.24193/subbmath.2023.3.05Keywords:
Starlikeness, convexity, analytic functions, Alexander operator, Herglotz representation formula.Abstract
Giving the sharp version of an univalence condition means to give the final response to an open question. We prove in this paper the sharp version of a starlikeness condition. The basic tool in our study is the convolution theory. We present a short history of the problem before the proof of the main result.
Mathematics Subject Classification (2010): 30C45, 30A10.
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