Geodesic
On a~subclass of univalent functions with negative coefficients defined by a~linear operator
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 25 (2015) no. 3, pp. 306-317

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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 $\mathcal U=\{z\in\mathbb C\colon|z|1\}$. 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, Ruscheweyh derivative, distortion theorems, closure theorems.
Mots-clés : Hadamard product 
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     title = {On a~subclass of univalent functions with negative coefficients defined by a~linear operator},
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A. R. S. Juma; M. Sh. Abdul-Hussein; M. F. Hani. On a~subclass of univalent functions with negative coefficients defined by a~linear operator. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 25 (2015) no. 3, pp. 306-317. http://geodesic.mathdoc.fr/item/VUU_2015_25_3_a1/