The admissible method for complex formula of operator on meromorphic functions

The objective of this paper is to study a new meromorphic complex function defined in terms of a koebe-type function on a punctured complex unit disc. Furthermore, using convolution theory, the formulated function is convoluted by a complex operator, the main role of which is to obtain some results...

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Bibliographic Details
Main Authors: Moureh, Anwar H., Al-Janaby, Hiba F.
Format: Conference Proceeding
Language:English
Subjects:
Meromorphic functions
Operators (mathematics)
Online Access:Get full text
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Summary:The objective of this paper is to study a new meromorphic complex function defined in terms of a koebe-type function on a punctured complex unit disc. Furthermore, using convolution theory, the formulated function is convoluted by a complex operator, the main role of which is to obtain some results on 3rd-order differential subordination. In order to obtain a third-order differential sandwich result, the dual concept of thirdorder differential superordination under the univalent condition is also discussed.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0202876