### Abstract

Let E_{β} be the integral operator defined by (Formula presented) where each of the functions f_{i}, and P_{i} are, respectively, analytic functions and functions with positive real part defined in the open unit disk for all i = 1, ..., n. The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.

Original language | English |
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Pages (from-to) | 185-195 |

Number of pages | 11 |

Journal | Far East Journal of Mathematical Sciences |

Volume | 93 |

Issue number | 2 |

Publication status | Published - 1 Oct 2014 |

### Fingerprint

### Keywords

- Analytic functions
- Integral operator
- Schwarz lemma
- Univalent functions

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Far East Journal of Mathematical Sciences*,

*93*(2), 185-195.

**Order of univalency of general integral operator.** / Alkasbi, Nasser; Darus, Maslina.

Research output: Contribution to journal › Article

*Far East Journal of Mathematical Sciences*, vol. 93, no. 2, pp. 185-195.

}

TY - JOUR

T1 - Order of univalency of general integral operator

AU - Alkasbi, Nasser

AU - Darus, Maslina

PY - 2014/10/1

Y1 - 2014/10/1

N2 - Let Eβ be the integral operator defined by (Formula presented) where each of the functions fi, and Pi are, respectively, analytic functions and functions with positive real part defined in the open unit disk for all i = 1, ..., n. The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.

AB - Let Eβ be the integral operator defined by (Formula presented) where each of the functions fi, and Pi are, respectively, analytic functions and functions with positive real part defined in the open unit disk for all i = 1, ..., n. The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.

KW - Analytic functions

KW - Integral operator

KW - Schwarz lemma

KW - Univalent functions

UR - http://www.scopus.com/inward/record.url?scp=84914685130&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84914685130&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84914685130

VL - 93

SP - 185

EP - 195

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 2

ER -