In this paper, by making use of a certain family of fractional derivative operators in the complex domain, we introduce and investigate a new subclass $\mathcal{ P}_{ \tau,\mu}(k,\delta,\gamma)$ of analytic and univalent functions in the open unit disk $\mathbb{ U}$. In particular, for functions in the class $\mathcal{ P}_{ \tau,\mu}(k,\delta,\gamma)$, we derive sufficient coefficient inequalities, distortion theorems involving the above-mentioned fractional derivative operators, and the radii of starlikeness and convexity. In addition, some applications of functions in the class $\mathcal{ P}_{ \tau,\mu}(k,\delta,\gamma)$ are also pointed out.
Categories: math.CV