On some interesting properties for a new subclass of multivalent functions

Ahmad, M.Z. and Ibrahim, R.W. and Al-Janaby, H.F. (2016) On some interesting properties for a new subclass of multivalent functions. Asian-European Journal of Mathematics, 09 (01). p. 1650027. ISSN 1793-5571

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Official URL: http://dx.doi.org/10.1142/S1793557116500273

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.

Item Type: Article
Uncontrolled Keywords: Multivalent functions; Distortion theorem; Radius of convexity; Radius of close-to-convexity; Convex linear combination; Arithmetic mean; (k,δ)-neighborhood; Partial sums
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Computer Science & Information Technology
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 24 Oct 2017 08:26
Last Modified: 24 Oct 2017 08:26
URI: http://eprints.um.edu.my/id/eprint/18108

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