### Abstract

Let I_{μ}(f_{1}, f_{2}, ...f_{l}, g_{1}, g_{2}, ...g_{l})(z) be the integral operator defined by generalized hypergeometric functions where each of the functions f_{m} and g_{m} are, respectively, analytic functions in the open unit disk for all m = 1, ..., l. 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) | 539-549 |

Number of pages | 11 |

Journal | Nonlinear Functional Analysis and Applications |

Volume | 23 |

Issue number | 3 |

Publication status | Published - 1 Sep 2018 |

### Fingerprint

### Keywords

- Analytic functions
- General Schwarz Lemma
- Integral operator
- Q-hypergeometric function

### ASJC Scopus subject areas

- Analysis
- Numerical Analysis
- Control and Optimization
- Applied Mathematics

### Cite this

*Nonlinear Functional Analysis and Applications*,

*23*(3), 539-549.

**Univalence preserving integral operator defined by generalized hypergeometric functions.** / Aldawish, Ibtisam; Darus, Maslina.

Research output: Contribution to journal › Article

*Nonlinear Functional Analysis and Applications*, vol. 23, no. 3, pp. 539-549.

}

TY - JOUR

T1 - Univalence preserving integral operator defined by generalized hypergeometric functions

AU - Aldawish, Ibtisam

AU - Darus, Maslina

PY - 2018/9/1

Y1 - 2018/9/1

N2 - Let Iμ(f1, f2, ...fl, g1, g2, ...gl)(z) be the integral operator defined by generalized hypergeometric functions where each of the functions fm and gm are, respectively, analytic functions in the open unit disk for all m = 1, ..., l. 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 Iμ(f1, f2, ...fl, g1, g2, ...gl)(z) be the integral operator defined by generalized hypergeometric functions where each of the functions fm and gm are, respectively, analytic functions in the open unit disk for all m = 1, ..., l. 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 - General Schwarz Lemma

KW - Integral operator

KW - Q-hypergeometric function

UR - http://www.scopus.com/inward/record.url?scp=85052843823&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85052843823&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85052843823

VL - 23

SP - 539

EP - 549

JO - Nonlinear Functional Analysis and Applications

JF - Nonlinear Functional Analysis and Applications

SN - 1229-1595

IS - 3

ER -