First order differential subordination associated with cassini curve

Andy Liew Pik Hern, and Rashidah Omar, and Aini Janteng, (2020) First order differential subordination associated with cassini curve. Journal of Quality Measurement and Analysis, 16 (1). pp. 125-130. ISSN 2600-8602

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: analytic functions, univalent functions, differential subordination, Cassini curve
Subjects: Q Science > Q Science (General)
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: SITI AZIZAH BINTI IDRIS -
Date Deposited: 10 Dec 2020 08:57
Last Modified: 06 Jan 2021 13:59
URI: http://eprints.ums.edu.my/id/eprint/26450

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