FIRST ORDER DIFFERENTIAL EQUATION
SUDORDINATION ASSOCIATED WITH CASSINI CURVE
Andy Liew Pik Hern1, Rashidah Omar2, Aini Janteng3
1,3Faculty of Science and Natural Resources
Universiti Malaysia Sabah
88400 Kota Kinabalu, Sabah, MALAYSIA
2 Faculty of Computer and Mathematical Sciences
Universiti Teknologi Mara Cawangan Sabah
88997 Kota Kinabalu, Sabah, MALAYSIA

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 $\beta$ so that the results hold for the expressions $1+\beta zp'(z)$, $1+\beta zp'(z)/p(z)$ and $1+\beta zp'(z)/p^2(z)$ are subordinate to $\sqrt{1+cz}$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 3
Year: 2021

DOI: 10.12732/ijam.v34i3.2

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