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

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) a...

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Main Authors: Abdulnaby, Z.E., Kılıçman, A., Ibrahim, R.W.
Format: Article
Language:English
Published: Academic Press 2016
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://eprints.um.edu.my/18004/1/Abdulnaby%2C_Z.E._%282016%29.pdf
http://eprints.um.edu.my/18004/
http://dx.doi.org/10.12732/ijpam.v108i4.4
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spelling my.um.eprints.180042017-10-13T01:01:09Z http://eprints.um.edu.my/18004/ Geometric properties for integro-differential operator involving the pre-Schwarzian derivative Abdulnaby, Z.E. Kılıçman, A. Ibrahim, R.W. QA75 Electronic computers. Computer science 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. Academic Press 2016 Article PeerReviewed application/pdf en http://eprints.um.edu.my/18004/1/Abdulnaby%2C_Z.E._%282016%29.pdf 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 http://dx.doi.org/10.12732/ijpam.v108i4.4 doi:10.12732/ijpam.v108i4.4
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
language English
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Abdulnaby, Z.E.
Kılıçman, A.
Ibrahim, R.W.
Geometric properties for integro-differential operator involving the pre-Schwarzian derivative
description 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.
format Article
author Abdulnaby, Z.E.
Kılıçman, A.
Ibrahim, R.W.
author_facet Abdulnaby, Z.E.
Kılıçman, A.
Ibrahim, R.W.
author_sort Abdulnaby, Z.E.
title Geometric properties for integro-differential operator involving the pre-Schwarzian derivative
title_short Geometric properties for integro-differential operator involving the pre-Schwarzian derivative
title_full Geometric properties for integro-differential operator involving the pre-Schwarzian derivative
title_fullStr Geometric properties for integro-differential operator involving the pre-Schwarzian derivative
title_full_unstemmed Geometric properties for integro-differential operator involving the pre-Schwarzian derivative
title_sort geometric properties for integro-differential operator involving the pre-schwarzian derivative
publisher Academic Press
publishDate 2016
url http://eprints.um.edu.my/18004/1/Abdulnaby%2C_Z.E._%282016%29.pdf
http://eprints.um.edu.my/18004/
http://dx.doi.org/10.12732/ijpam.v108i4.4
_version_ 1643690582383525888
score 13.211869

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