Bi-univalent functions of complex order defined by Hohlov operator associated with legendrae polynomial

Abstract

<abstract><p>In this paper, we introduce and investigate two new subclasses of the function class $ \Sigma $ of bi-univalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients $ |a_2| $ and $ |a_3| $ for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.</p></abstract>