First order differential equation subordination associated with cassini curve

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.

Bibliographic Details
Main Authors: Andy Liew Pik Hern, Rashidah Omar, Aini Janteng
Format: Article
Language:English
English
Published: Hindawi Limited 2021
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/30665/1/First%20order%20differential%20equation%20subordination%20associated%20with%20cassini%20curve-Abstract.pdf
https://eprints.ums.edu.my/id/eprint/30665/2/First%20Order%20Differential%20Equation%20Subordination%20Associated%20with%20Cassini%20Curve.pdf
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author Andy Liew Pik Hern
Rashidah Omar
Aini Janteng
author_facet Andy Liew Pik Hern
Rashidah Omar
Aini Janteng
author_sort Andy Liew Pik Hern
collection UMS
description 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.
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spelling ums.eprints-306652021-10-25T13:09:20Z https://eprints.ums.edu.my/id/eprint/30665/ First order differential equation subordination associated with cassini curve Andy Liew Pik Hern Rashidah Omar Aini Janteng QA1-939 Mathematics 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. Hindawi Limited 2021 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/30665/1/First%20order%20differential%20equation%20subordination%20associated%20with%20cassini%20curve-Abstract.pdf text en https://eprints.ums.edu.my/id/eprint/30665/2/First%20Order%20Differential%20Equation%20Subordination%20Associated%20with%20Cassini%20Curve.pdf 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) http://diogenes.bg/ijam/contents/2021-34-3/2/ http://dx.doi.org/10.12732/ijam.v34i3.2 http://dx.doi.org/10.12732/ijam.v34i3.2
spellingShingle QA1-939 Mathematics
Andy Liew Pik Hern
Rashidah Omar
Aini Janteng
First order differential equation subordination associated with cassini curve
title First order differential equation subordination associated with cassini curve
title_full First order differential equation subordination associated with cassini curve
title_fullStr First order differential equation subordination associated with cassini curve
title_full_unstemmed First order differential equation subordination associated with cassini curve
title_short First order differential equation subordination associated with cassini curve
title_sort first order differential equation subordination associated with cassini curve
topic QA1-939 Mathematics
url https://eprints.ums.edu.my/id/eprint/30665/1/First%20order%20differential%20equation%20subordination%20associated%20with%20cassini%20curve-Abstract.pdf
https://eprints.ums.edu.my/id/eprint/30665/2/First%20Order%20Differential%20Equation%20Subordination%20Associated%20with%20Cassini%20Curve.pdf
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