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

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 |
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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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