Subordination by convex functions
2006 ◽
Vol 2006
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pp. 1-6
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For a fixed analytic functiong(z)=z+∑n=2∞gnzndefined on the open unit disk andγ<1, letTg(γ)denote the class of all analytic functionsf(z)=z+∑n=2∞anznsatisfying∑n=2∞|angn|≤1−γ. For functions inTg(γ), a subordination result is derived involving the convolution with a normalized convex function. Our result includes as special cases several earlier works.
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2013 ◽
Vol 2013
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pp. 1-6
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2016 ◽
Vol 24
(1)
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pp. 353-369
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