New Differential Operator for Holomorphic Functions

In this paper, by making use of binomial series, we define a new differential operator of holomorphic functions in the open unit disk. Also, we introduce and investigate two new classes containing this new operator associated with differential subordinations and superordinations. Furthermore, we determine important properties for functions belonging to these classes.

A new differential operator of analytic functions involving binomial series

In this paper, we introduce a new di¤erential operator of analytic functions involving binomial series. Furthermore, we derive some subordination and superordination results for this operator. Some applications and examples are also obtained.