TY - JOUR ID - 36057 TI - Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Tahir, Muhamamd AU - Khan, Nazar AU - Ahmad, Qazi Zahoor AU - Khan, Bilal AU - Khan, Gul Mehtab AD - Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan. Y1 - 2019 PY - 2019 VL - 16 IS - 1 SP - 69 EP - 81 KW - Univalent function KW - Analytic function KW - Bi-univalent function KW - Subordination between analytic functions KW - Starlike and strongly starlike functions KW - Conic domain DO - 10.22130/scma.2018.87581.449 N2 - The main objective of this investigation is to introduce certain new subclasses of the class $\Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ \left \vert a_{2}\right \vert $ and $\left \vert a_{3}\right \vert $ for functions in these new subclasses. We consider various corollaries and consequences of our main results. We also point out relevant connections to some of the earlier known developments. UR - https://scma.maragheh.ac.ir/article_36057.html L1 - https://scma.maragheh.ac.ir/article_36057_c5109d49de17a43b53100e7a3a2631d1.pdf ER -