Some properties of a new subclass of analytic univalent functions defined by Multiplier Transformation

Abstract

The purpose of the present paper is to study the integral operator of the form
\[
\int_{0}^{z}\left\{\frac{I^n_{\mu}f(t)}{t}\right\}^{\delta}dt\] where $f$ belongs to the subclass $C(n,\alpha,\beta, \mu)$ and $\delta$ is a real number. We obtain integral characterization for the subclass $C(n,\alpha,\beta, \mu)$ and also prove distortion, rotation and radii theorem for this class.  Relevant connections of the results presented here with various known results are briefly indicated.