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A note on neighbourhoods of univalent functions

Published:1983 Issue:1 Volume:87 Page:117-120
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fournier Richard

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-087-01/S0002-9939-1983-0677245-9/S0002-9939-1983-0677245-9.pdf

Reference2 articles.

1. Neighborhoods of univalent functions;Ruscheweyh, Stephan;Proc. Amer. Math. Soc.,1981

2. On a class of star-like functions;Singh, Ram;Compositio Math.,1967

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

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2. Pseudostarlikeness and Pseudoconvexity of Multiple Dirichlet Series;Universal Journal of Mathematics and Applications;2023-12-18

3. Some properties of a subclass of harmonic univalent functions defined by the multiplier transformations;Indian Journal of Pure and Applied Mathematics;2015-05-04

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