Sufficiency Criteria for
q
-Starlike Functions Associated with Cardioid
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This article deals with the q -differential subordinations for starlike functions associated with the lemniscate of Bernoulli and cardioid domain. The primary goal of this work is to find the conditions on γ for 1 + γ z ∂ q h z / h n z ≺ 1 + z , where h z is analytic function and is subordinated by the function which is producing cardioid domain as its image domain while mapping the open unit disk. Along with this, certain sufficient conditions for q -starlikeness of analytic functions are determined.
2007 ◽
Vol 2007
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pp. 1-7
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2017 ◽
Vol 10
(04)
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pp. 1750064
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2009 ◽
Vol 2009
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pp. 1-13
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2014 ◽
Vol 25
(09)
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pp. 1450090
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2000 ◽
Vol 24
(9)
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pp. 577-581
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