On a subclass of univalent functions with negative coefficients defined by a linear operator

The present paper introduces and studies the subclass $A_n(m,\beta,p,q,\lambda)$ of univalent functions with negative coefficients defined by new linear operator $J^\lambda$ in the open unit disk $\mathcal U=\{z\in\mathbb C\colon|z|<1\}$. The main task is to investigate several properties such as coefficient estimates, distortion theorems, closure theorems. Neighborhood and radii of starlikeness, convexity and close-to-convexity of functions belonging to the class $A_n(m,\beta,p,q,\lambda)$ are studied.