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Home » Issues » Archive of Issues » 2015 - 3 issue » pp. 306-317

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Iraq Baghdad; Ramadi
Year
2015
Volume
25
Issue
3
Pages
306-317
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Section Mathematics
Title On a subclass of univalent functions with negative coefficients defined by a linear operator
Author(-s) Juma A.R.a, Abdul-Hussein M.Sh.b, Hani M.F.b
Affiliations University of Anbara, University of Mustansiriyahb
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 close-to-convexity 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., Abdul-Hussein 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. 306-317.
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