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Proceedings of the American Mathematical Society

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

 
 

 

A note on neighbourhoods of univalent functions


Author: Richard Fournier
Journal: Proc. Amer. Math. Soc. 87 (1983), 117-120
MSC: Primary 30C45
DOI: https://doi.org/10.1090/S0002-9939-1983-0677245-9
MathSciNet review: 677245
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Abstract: Using a notion of neighbourhood of analytic functions due to Stephan Ruscheweyh we examine conditions under which neighbourhoods of a certain class of convex functions are included in a class of starlike functions.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0677245-9
Keywords: Univalent starlike and convex functions, neighbourhoods of analytic functions, Hadamard product
Article copyright: © Copyright 1983 American Mathematical Society

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