On certain subclasses of analytic functions with varying arguments of coefficients

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.