First order differential subordination associated with cassini curve

• Main Authors: Andy Liew Pik Hern, Rashidah Omar, Aini Janteng
• Format: Article
• Language: English; English
• Published: 2020
• Subjects: Q Science (General)
• 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/
• Institution: Universiti Malaysia Sabah

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.