# On a subclass of bi-univalent functions associated with the $q$-derivative operator

Volume 19, Issue 1, pp 58--64
Publication Date: March 09, 2019 Submission Date: September 22, 2017 Revision Date: November 05, 2018 Accteptance Date: February 28, 2019
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### Authors

Huda Aldweby - Department of Mathematics, Faculty of Science, Al Asmarya Islamic University, Libya. Maslina Darus - Centre of Modelling and Data Science, Faculty of Science and Technology, Universiti Kebangsaan, Malaysia.

### Abstract

In this paper, we consider a new subclass of analytic and bi-univalent functions associated with $q$-Ruscheweyh differential operator in the open unit disk $\mathbb{U}$. For functions belonging to the class $\Sigma_q(\lambda,\phi)$, we obtain estimates on the first two Taylor-Maclaurin coefficients. Further, we derive another subclass of analytic and bi-univalent functions as a special consequences of the results.

### Share and Cite

##### ISRP Style

Huda Aldweby, Maslina Darus, On a subclass of bi-univalent functions associated with the $q$-derivative operator, Journal of Mathematics and Computer Science, 19 (2019), no. 1, 58--64

##### AMA Style

Aldweby Huda, Darus Maslina, On a subclass of bi-univalent functions associated with the $q$-derivative operator. J Math Comput SCI-JM. (2019); 19(1):58--64

##### Chicago/Turabian Style

Aldweby, Huda, Darus, Maslina. "On a subclass of bi-univalent functions associated with the $q$-derivative operator." Journal of Mathematics and Computer Science, 19, no. 1 (2019): 58--64

### Keywords

• Bi-univalent functions
• $q$-derivative
• coefficient estimates
• $q$-starlike functions

•  30C45

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