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, DOI https://doi.org/10.1142/S1793557116500273.
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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 |
|---|---|
| Funders: | UNSPECIFIED |
| 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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