On some interesting properties for a new subclass of multivalent functions

Document Type

Article

Publication Date

1-1-2016

Abstract

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.

Keywords

Multivalent functions, Distortion theorem, Radius of convexity, Radius of close-to-convexity, Convex linear combination, Arithmetic mean, (k, δ)-neighborhood, Partial sums

Divisions

fsktm

Publication Title

Asian-European Journal of Mathematics

Volume

09

Issue

01

Publisher

World Scientific Publishing

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