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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On Bazilevič functions


Author: Ram Singh
Journal: Proc. Amer. Math. Soc. 38 (1973), 261-271
MSC: Primary 30A32
DOI: https://doi.org/10.1090/S0002-9939-1973-0311887-9
MathSciNet review: 0311887
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Abstract: In this paper we study two subclasses of the class $ B$--the so-called class of Bazilevič functions. It is known that $ B$ is a subclass of $ S$, the class of univalent functions in $ E = \{ z \vert \vert z\vert < 1 \}$. Some well-known results pertaining to various subclasses of $ S$ will follow as corollaries to the theorems which are obtained here.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0311887-9
Keywords: Univalent, Bazilevič, close-to-convex functions
Article copyright: © Copyright 1973 American Mathematical Society