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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.

The object of the present paper is to investigate several classes of analytic functions with varying argument of coefficients, which are defined here by means of the principle of subordination between analytic functions. Such properties as the coefficient estimates, distortion theorems, subordination theorems, convolution properties, integral means inequalities, and radii of conexity and starlikenes are investigated. Some consequences of our main results for new or known classes of analytic functions are also pointed out. [ABSTRACT FROM AUTHOR]