Geometric properties for integro-differential operator involving the pre-Schwarzian derivative

Abdulnaby, Z.E. and Kılıçman, A. and Ibrahim, R.W. (2016) Geometric properties for integro-differential operator involving the pre-Schwarzian derivative. International Journal of Pure and Apllied Mathematics, 108 (4). pp. 781-790. ISSN 1311-8080, DOI https://doi.org/10.12732/ijpam.v108i4.4.

[img]
Preview
PDF (Full Text)
Abdulnaby,_Z.E._(2016).pdf - Published Version

Download (133kB)
Official URL: http://dx.doi.org/10.12732/ijpam.v108i4.4

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.

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: Fractional calculus; Analytic functions; Unit disk; Univalent functions; Fractional differential operator; Integral operator
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Computer Science & Information Technology
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 13 Oct 2017 01:01
Last Modified: 13 Oct 2017 01:01
URI: http://eprints.um.edu.my/id/eprint/18004

Actions (login required)

View Item View Item