Document Type
Article
Publication Date
1-1-2016
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 integro-differential operator Jm(z) and obtain its properties by utilizing the pre-Schwarzian derivative. Applications are illustrated, based on fractional calculus in the sequel.
Keywords
Fractional calculus, Analytic functions, Unit disk, Univalent functions, Fractional differential operator, Integral operator
Divisions
fsktm
Publication Title
International Journal of Pure and Apllied Mathematics
Volume
108
Issue
4
Publisher
Academic Press
COinS