Some Properties of Multivalent Functions Associated with a Certain Operator

We obtain some subordination and superordination results involving a new operator. By means of the new introduced operator \( \mathrm{C}_{p,n}^{\lambda }(a,c)f(z), \) for some multivalent functions in the open unit disc, we establish the differential sandwich theorem.

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Bibliographic Details
Date:2013
Main Authors: He, P., Zhang, D., Ге, П., Чжанг, Д.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2538
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We obtain some subordination and superordination results involving a new operator. By means of the new introduced operator \( \mathrm{C}_{p,n}^{\lambda }(a,c)f(z), \) for some multivalent functions in the open unit disc, we establish the differential sandwich theorem.