### Abstract

Let analytic functions f be defined in the open unit disc U with f(0) = 0 and f′(0) = 1. By using the linear operator D_{l} ^{m,λ}(a,b)f(z) given recently by the authors, some properties for this operator are discussed. The results obtained generalise some known properties.

Original language | English |
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Title of host publication | AIP Conference Proceedings |

Pages | 908-914 |

Number of pages | 7 |

Volume | 1522 |

DOIs | |

Publication status | Published - 2013 |

Event | 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya Duration: 18 Dec 2012 → 20 Dec 2012 |

### Other

Other | 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 |
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City | Putrajaya |

Period | 18/12/12 → 20/12/12 |

### Fingerprint

### Keywords

- Analytic function
- Complex plane
- Linear operator
- Univalent function

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*AIP Conference Proceedings*(Vol. 1522, pp. 908-914) https://doi.org/10.1063/1.4801226

**Some properties for a linear operator.** / Ahmed Amer, Aisha; Darus, Maslina.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*AIP Conference Proceedings.*vol. 1522, pp. 908-914, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801226

}

TY - GEN

T1 - Some properties for a linear operator

AU - Ahmed Amer, Aisha

AU - Darus, Maslina

PY - 2013

Y1 - 2013

N2 - Let analytic functions f be defined in the open unit disc U with f(0) = 0 and f′(0) = 1. By using the linear operator Dl m,λ(a,b)f(z) given recently by the authors, some properties for this operator are discussed. The results obtained generalise some known properties.

AB - Let analytic functions f be defined in the open unit disc U with f(0) = 0 and f′(0) = 1. By using the linear operator Dl m,λ(a,b)f(z) given recently by the authors, some properties for this operator are discussed. The results obtained generalise some known properties.

KW - Analytic function

KW - Complex plane

KW - Linear operator

KW - Univalent function

UR - http://www.scopus.com/inward/record.url?scp=84876923940&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876923940&partnerID=8YFLogxK

U2 - 10.1063/1.4801226

DO - 10.1063/1.4801226

M3 - Conference contribution

AN - SCOPUS:84876923940

SN - 9780735411500

VL - 1522

SP - 908

EP - 914

BT - AIP Conference Proceedings

ER -