### Abstract

This article attempts to define a new differential operator involving q-Mittag-Leffler function. Thus, a new starlike class of complex-valued harmonic univalent functions is defined by means of the aforemen- tioned differential operator. In addition to this, different properties and characteristics were considered in the study for this class. Some of these properties include a necessary and sufficient coefficient, growth bounds and neighborhoods.

Original language | English |
---|---|

Pages (from-to) | 833-847 |

Number of pages | 15 |

Journal | International Journal of Mathematics and Computer Science |

Volume | 14 |

Issue number | 4 |

Publication status | Published - 1 Jan 2019 |

### Fingerprint

### Keywords

- Differential operator
- Growth bounds
- Harmonic univalent functions
- Q-Mittag-Leffler function

### ASJC Scopus subject areas

- Computer Science (miscellaneous)
- Algebra and Number Theory
- Statistics and Probability
- Numerical Analysis
- Modelling and Simulation
- Discrete Mathematics and Combinatorics
- Computational Mathematics
- Applied Mathematics

### Cite this

*International Journal of Mathematics and Computer Science*,

*14*(4), 833-847.

**On a subclass of harmonic univalent functions involving a new operator containing q-Mittag-Leffler function.** / Elhaddad, Suhila; Aldweby, Huda; Darus, Maslina.

Research output: Contribution to journal › Article

*International Journal of Mathematics and Computer Science*, vol. 14, no. 4, pp. 833-847.

}

TY - JOUR

T1 - On a subclass of harmonic univalent functions involving a new operator containing q-Mittag-Leffler function

AU - Elhaddad, Suhila

AU - Aldweby, Huda

AU - Darus, Maslina

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This article attempts to define a new differential operator involving q-Mittag-Leffler function. Thus, a new starlike class of complex-valued harmonic univalent functions is defined by means of the aforemen- tioned differential operator. In addition to this, different properties and characteristics were considered in the study for this class. Some of these properties include a necessary and sufficient coefficient, growth bounds and neighborhoods.

AB - This article attempts to define a new differential operator involving q-Mittag-Leffler function. Thus, a new starlike class of complex-valued harmonic univalent functions is defined by means of the aforemen- tioned differential operator. In addition to this, different properties and characteristics were considered in the study for this class. Some of these properties include a necessary and sufficient coefficient, growth bounds and neighborhoods.

KW - Differential operator

KW - Growth bounds

KW - Harmonic univalent functions

KW - Q-Mittag-Leffler function

UR - http://www.scopus.com/inward/record.url?scp=85071664611&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85071664611&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85071664611

VL - 14

SP - 833

EP - 847

JO - International Journal of Mathematics and Computer Science

JF - International Journal of Mathematics and Computer Science

SN - 1814-0424

IS - 4

ER -