Geodesic
On certain subclasses of analytic functions with varying arguments of coefficients
The Bulletin of Irkutsk State University. Series Mathematics, Tome 23 (2018), pp. 80-95

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In this paper we introduce and study the class$ \mathcal{VR}_{\delta ,\eta }(n,\lambda ,\alpha ) $of analytic functions with varying arguments of coefficients. We obtain coefficients inequalities, distortion theorems involving fractional calculus, radii of close to convexity, starlikeness and convexity and square root transformation for functions in the class $\mathcal{VR}_{\delta ,\eta }(n,\lambda ,\alpha )$. Finally, integral convolution for functions in this class are considered.
Keywords: analytic functions, Hadamard product, fractional calculus operators, varying arguments of coefficients, square root transformation, integral convolution. 
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     author = {H. M. Zayed and M. K. Aouf and Maslina Darus},
     title = {On certain subclasses of analytic functions with varying arguments of coefficients},
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H. M. Zayed; M. K. Aouf; Maslina Darus. On certain subclasses of analytic functions with varying arguments of coefficients. The Bulletin of Irkutsk State University. Series Mathematics, Tome 23 (2018), pp. 80-95. http://geodesic.mathdoc.fr/item/IIGUM_2018_23_a5/