Majorization and Quasi-Subordination Problems for Certain Subclasses of Holomorphic Functions Utilizing Differential Operator.

In the current paper, we define some subclasses of holomorphic functions in the open disk u that are defined by the differential operator. These subclasses are defined in the open disk u. We make some estimates for the bounds of the Fekete-Szego inequality as well as the coefficients | a2 | and | a3 | for functions that belong to these subclasses. Also, some of the results of these subclasses have been generalized, particularly those that involve the majorization and quasi-subordination concepts. [ABSTRACT FROM AUTHOR]