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     Research Journal of Applied Sciences, Engineering and Technology


Neighborhoods of Certain Classes of Generalized Ruscheweyh Type Analytic Functions of Complex Order

1Jamal Kazemi Asl and 2Hesam Mahzoon
1Payame Noor University, Bandar Imam Khomeini, Iran
2Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran
Research Journal of Applied Sciences, Engineering and Technology  2013  15:3975-3977
http://dx.doi.org/10.19026/rjaset.5.4462  |  © The Author(s) 2013
Received: November 08, 2012  |  Accepted: December 06, 2012  |  Published: April 25, 2013

Abstract

In this study, we introduce and study the $(n, δ)$ neighborhoods of subclasses $S_n (γ, λ, β, η) R_n (γ, λ, β, μ, η) S_n^α (γ, λ, β, μ, η)$ and $R_n^α (γ, λ, β, μ, η)$ of the class A(n) of normalized analytic functions in $U = {z ∈ ℂ : |z|<1}$ with negative coefficients, which are defined by using of the generalized Ruscheweyh derivative operator.

Keywords:

Analytic functions, convex functions, neighborhoods generalized ruscheweyh derivative, Star like functions, univalent functions,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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