TY - JOUR AU - Aldweby, Huda AU - Darus, Maslina PY - 2019 TI - On a subclass of bi-univalent functions associated with the \(q\)-derivative operator JO - Journal of Mathematics and Computer Science SP - 58--64 VL - 19 IS - 1 AB - 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. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.019.01.08 DO - 10.22436/jmcs.019.01.08 ID - Aldweby2019 ER -