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.

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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

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