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International Journal of Mathematics and Mathematical Sciences

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Volume 31 |Article ID 754803 | https://doi.org/10.1155/S0161171202007202

Liu Mingsheng, "On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives", International Journal of Mathematics and Mathematical Sciences, vol. 31, Article ID 754803, 9 pages, 2002. https://doi.org/10.1155/S0161171202007202

On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives

Liu Mingsheng1

1Department of Mathematics, South China Normal University, Guangzhou 510631, China

Received20 Mar 2001

Abstract

Let H be the class of functions f(z) of the form f(z)=z+∑ K=2 + ∞a k z k, which are analytic in the unit disk U={z;|z|<1}. In this paper, we introduce a new subclass Bλ(μ,α,ρ) of H and study its inclusion relations, the condition of univalency, and covering theorem. The results obtained include the related results of some authors as their special case. We also get some new results.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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