First order differential subordination associated with Cassini curve
Let p be an analytic function defined on the open unit disc with 01p. In this paper, we determine the conditions for such that certain subordination properties hold for pz is subjected to certain geometric conditions involving the expressions 1',zpz 1'/zpzpz and 21�...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2020
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| Online Access: | http://journalarticle.ukm.my/15099/1/jqma-16-1-paper13.pdf http://journalarticle.ukm.my/15099/ http://www.ukm.my/jqma/current.html |
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| Institution: | Universiti Kebangsaan Malaysia |
| Language: | English |
| Summary: | Let p be an analytic function defined on the open unit disc with 01p. In this paper, we determine the conditions for such that certain subordination properties hold for pz is subjected to certain geometric conditions involving the expressions
1',zpz 1'/zpzpz and 21'/zpzpz
of which each is subordinated to 1cz and the condition for
is determined. |
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