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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academic Press
2016
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/18004/1/Abdulnaby%2C_Z.E._%282016%29.pdf |
| _version_ | 1825721032348008448 |
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| author | Abdulnaby, Z.E. Kılıçman, A. Ibrahim, R.W. |
| author_facet | Abdulnaby, Z.E. Kılıçman, A. Ibrahim, R.W. |
| author_sort | Abdulnaby, Z.E. |
| collection | UM |
| 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. |
| first_indexed | 2024-03-06T05:44:10Z |
| format | Article |
| id | um.eprints-18004 |
| institution | Universiti Malaya |
| language | English |
| last_indexed | 2024-03-06T05:44:10Z |
| publishDate | 2016 |
| publisher | Academic Press |
| record_format | dspace |
| spelling | 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, DOI https://doi.org/10.12732/ijpam.v108i4.4 <https://doi.org/10.12732/ijpam.v108i4.4>. http://dx.doi.org/10.12732/ijpam.v108i4.4 doi:10.12732/ijpam.v108i4.4 |
| 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 |
| title | 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_short | Geometric properties for integro-differential operator involving the pre-Schwarzian derivative |
| title_sort | geometric properties for integro differential operator involving the pre schwarzian derivative |
| topic | QA75 Electronic computers. Computer science |
| url | http://eprints.um.edu.my/18004/1/Abdulnaby%2C_Z.E._%282016%29.pdf |
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