Research Article | OPEN ACCESS
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
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,
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.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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