Abstract We consider three classes of functions defined using the class $${\mathcal {P}}$$ P all analytic $$p(z)=1+cz+\cdots $$ p ( z ) = 1 + c ? ...

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 consequen...