First order differential subordination associated with cassini curve

Let p be an analytic function defined on the open unit disc with p01. In this paper, we determine the conditions for such that certain subordination properties hold for p z is subjected to certain geometric conditions involving the expressions 1 ' , zp z1 ' /zp z p z and 2 1 ' / zp z...

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Bibliographic Details
Main Authors: Andy Liew Pik Hern, Rashidah Omar, Aini Janteng
Format: Article
Language:English
English
Published: 2020
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/26450/1/First%20order%20differential%20subordination%20associated%20with%20cassini%20curve.pdf
https://eprints.ums.edu.my/id/eprint/26450/2/First%20order%20differential%20subordination%20associated%20with%20cassini%20curve1.pdf
https://eprints.ums.edu.my/id/eprint/26450/
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Summary:Let p be an analytic function defined on the open unit disc with p01. In this paper, we determine the conditions for such that certain subordination properties hold for p z is subjected to certain geometric conditions involving the expressions 1 ' , zp z1 ' /zp z p z and 2 1 ' / zp z p z of which each is subordinated to 1cz and the condition for is determined.