University of MaraghehSahand Communications in Mathematical Analysis2322-580721120240101Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with $(\mathcal {P,Q})-$Lucas Polynomial27328970851210.22130/scma.2023.1990927.1270ENElumalaiMuthaiyanDepartment of Mathematics, St. Joseph's Institute of Technology, OMR, Chennai - 600 119, Tamilnadu, India.0000-0001-7043-0565Journal Article20230307On this study, two new subclasses of the function class $\Xi$ of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated. These subclasses are connected to the Hohlov operator with $(\mathcal {P,Q})-$Lucas polynomial and meet subordinate criteria. For functions in these new subclasses, we also get estimates for the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$. The results are also discussed as having a number of (old or new) repercussions.https://scma.maragheh.ac.ir/article_708512_d0bc413973badfe7c3179e93d89278a0.pdf