On a subclass of bi-univalent functions associated with the \(q\)-derivative operator

Volume 19, Issue 1, pp 58--64 http://dx.doi.org/10.22436/jmcs.019.01.08
Publication Date: March 09, 2019 Submission Date: September 22, 2017 Revision Date: November 05, 2018 Accteptance Date: February 28, 2019

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.


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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


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