Geometric Properties for Integro-Differential Operator Involving the Pre-Schwarzian Derivative

Abstract

Recently, the study of operators theory (differential, integral, integro-differential) has been increased. It appears widely in the geometric function theory, to create some generalized subclasses of analytic functions. In this effort, we introduce a generalized integrodifferential operator Jm(z) and obtain its properties by utilizing the pre-Schwarzian derivative.Applications are illustrated, based on fractional calculus in the sequel.