FIRST ORDER DIFFERENTIAL SUBORDINATION ASSOCIATED WITH CASSINI CURVE; [Subordinasi Pembeza Peringkat Pertama yang Bersekutu dengan Lengkung Cassini]
Let p be an analytic function defined on the open unit disc with p (0) = 1. In this paper, we determine the conditions for β such that certain subordination properties hold for p(z) is subjected to certain geometric conditions involving the expressions 1+ βzp'(z), 1+ βzp'(z)/p(z) and 1+ βz...
| Published in: | Journal of Quality Measurement and Analysis |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2020
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85202539031&partnerID=40&md5=a8eade2c5d1cb4dd32fe6b663a1bd837 |
| Summary: | Let p be an analytic function defined on the open unit disc with p (0) = 1. In this paper, we determine the conditions for β such that certain subordination properties hold for p(z) is subjected to certain geometric conditions involving the expressions 1+ βzp'(z), 1+ βzp'(z)/p(z) and 1+ βzp'(z) / p2(z) of which each is subordinated to √1+cz and the condition for β is determined. © 2020, Penerbit Universiti Kebangsaan Malaysia. All rights reserved. |
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| ISSN: | 18235670 |