Estimating coefficients for subclasses of meromorphic bi-univalent functions involving the polylogarithm function

Document Type : Research Paper


Department of Mathematics, College of Education, Al-Mustansiriyah University, Baghdad, Iraq


In this paper, we introduce a new operator \(\Omega_{c}\ g(z)\) associated with polylogarithm function, applying it on the subclasses \(AH_{\Sigma_{\mathcal{B}}^{*}}(\gamma,k)\) of meromorphic starlike bi-univalent functions of order \(\gamma\), and \(AH_{{\widetilde{\Sigma}}_{\mathcal{B}}^{*}}(\gamma,k)\) of meromorphic strongly starlike bi-univalent functions of order \(\gamma\), also we find estimates on the coefficients \(\left| b_{0} \right|\) and \(\left| b_{1} \right|\) for functions in these subclasses{.}