First order differential equation subordination associated with cassini curve

Andy Liew Pik Hern and Rashidah Omar and Aini Janteng (2021) First order differential equation subordination associated with cassini curve. International Journal of Applied Mathematics, 34 (3). pp. 441-447. ISSN 1311-1728 (P-ISSN) , 1314-8060 (E-ISSN)

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URL: http://diogenes.bg/ijam/contents/2021-34-3/2/

Abstract

We denote p(z) as analytic functions defined on the open unit disk with p(0) = 1. In this paper, we determined the condition for so that the results hold for the expressions 1+ zp′(z), 1+ zp′(z)/p(z) and 1+ zp′(z)/p2(z) are subordinate to √1 + cz.

Item Type:	Article
Keyword:	Analytic functions , Univalent functions , First order differential Equation , Subordination , Cassini curve
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	DG MASNIAH AHMAD -
Date Deposited:	25 Oct 2021 21:09
Last Modified:	25 Oct 2021 21:09
URI:	https://eprints.ums.edu.my/id/eprint/30665

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