TY - JFULL AU - Rashidah Omar and Suzeini Abdul Halim and Aini Janteng PY - 2017/11/ TI - Subclasses of Bi-Univalent Functions Associated with Hohlov Operator T2 - International Journal of Mathematical and Computational Sciences SP - 464 EP - 468 VL - 11 SN - 1307-6892 UR - https://publications.waset.org/pdf/10008113 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 130, 2017 N2 - The coefficients estimate problem for Taylor-Maclaurin series is still an open problem especially for a function in the subclass of bi-univalent functions. A function f 系 A is said to be bi-univalent in the open unit disk D if both f and f-1 are univalent in D. The symbol A denotes the class of all analytic functions f in D and it is normalized by the conditions f(0) = f’(0) – 1=0. The class of bi-univalent is denoted by  The subordination concept is used in determining second and third Taylor-Maclaurin coefficients. The upper bound for second and third coefficients is estimated for functions in the subclasses of bi-univalent functions which are subordinated to the function φ. An analytic function f is subordinate to an analytic function g if there is an analytic function w defined on D with w(0) = 0 and |w(z)| < 1 satisfying f(z) = g[w(z)]. In this paper, two subclasses of bi-univalent functions associated with Hohlov operator are introduced. The bound for second and third coefficients of functions in these subclasses is determined using subordination. The findings would generalize the previous related works of several earlier authors. ER -