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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, fractional calculus operators, varying arguments of coefficients, square root transformation, integral convolution.
Mots-clés : Hadamard product 
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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/

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