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

Saurabh Porwal, Surya Pratap Singh


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.

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