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Iraq Baghdad; Ramadi
Section  Mathematics 
Title  On a subclass of univalent functions with negative coefficients defined by a linear operator 
Author(s)  Juma A.R.^{a}, AbdulHussein M.Sh.^{b}, Hani M.F.^{b} 
Affiliations  University of Anbar^{a}, University of Mustansiriyah^{b} 
Abstract  The present paper introduces and studies the subclass $A_{n} (m,\beta,p,q,\lambda)$ of univalent functions with negative coefficients defined by new linear operator $J^\lambda$ in the open unit disk $\mathcal{U}=\{z \in \mathbb{C}: z < 1\}$. The main task is to investigate several properties such as coefficient estimates, distortion theorems, closure theorems. Neighborhood and radii of starlikeness, convexity and closetoconvexity of functions belonging to the class $A_{n} (m,\beta,p,q,\lambda)$ are studied. 
Keywords  analytic univalent function, Hadamard product, Ruscheweyh derivative, distortion theorems, closure theorems 
UDC  517.53 
MSC  30C45 
DOI  10.20537/vm150302 
Received  29 April 2015 
Language  English 
Citation  Juma A.R., AbdulHussein M.Sh., Hani M.F. On a subclass of univalent functions with negative coefficients defined by a linear operator, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2015, vol. 25, issue 3, pp. 306317. 
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