Certain Results on Starlike and Parabolic Starlike Functions

Richa Brar; S. S. Billing

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International Journal of Open Problems in Computer Science and Mathematics

Article . 2015 . Peer-reviewed

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https://dx.doi.org/10.12816/00...

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Certain Results on Starlike and Parabolic Starlike Functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2015Publisher:TechKnowledge General Trading LLCJournal:International Journal of Open Problems in Computer Science and Mathematics, volume 8, pages 27-35 (issn: 1998-6262,

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Authors: Richa Brar; S. S. Billing;

doi: 10.12816/0023171

Certain Results on Starlike and Parabolic Starlike Functions

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Abstract

Using the technique of differential subordination, we obtain certain results for starlike and parabolic starlike functions involving the differential operator zf ′(z) f(z) ( 1 + α zf ′′(z) f ′(z) ) . We study the above operator for multivalent functions and also conclude some results for univalent functions.

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