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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Press
2016
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| Subjects: | |
| 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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| Summary: | 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. |
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