Abstract

In this paper, we define the subclasses $\mathcal{V_\delta}(A,B)$ and $\mathcal{K_\delta}(A,B)$ of analytic functions by using $\Omega^{\delta}f(z)$. For functions belonging to these classes, we obtain coefficient estimates, distortion bounds and many more properties.

Keywords: Univalent functions; Komato operator; fractional derivative; linear operator.

MSC: 30C45

Pages:  17$-$23     

Volume  64 ,  Issue  1 ,  2012