On some interesting properties for a new subclass of multivalent functions

In this paper, we establish a new subfamily ℘p(τ, α, β) of multivalent functions with negative coefficients that involve certain linear operator. We first investigate sharp results concerning coefficients, then obtain the distortion theorem, radius of convexity and close-to-convexity, closure theore...

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Bibliographic Details
Main Authors: Ahmad, M.Z., Ibrahim, R.W., Al-Janaby, H.F.
Format: Article
Published: World Scientific Publishing 2016
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Online Access:http://eprints.um.edu.my/18108/
http://dx.doi.org/10.1142/S1793557116500273
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Summary:In this paper, we establish a new subfamily ℘p(τ, α, β) of multivalent functions with negative coefficients that involve certain linear operator. We first investigate sharp results concerning coefficients, then obtain the distortion theorem, radius of convexity and close-to-convexity, closure theorem, neighborhood property, partial sums and integral representation.