The Fekete-Szegö functional and the Hankel determinant for a certain class of analytic functions involving the Hohlov operator

In this paper, we introduce and study a new subclass of normalized functions that are analytic and univalent in the open unit disk U = :z∈ C\; \; and\; \; |z| < 1\, which satisfies the following geometric criterion: <tex-math id="FE1"> {document}equation* (Lu, vʷf(z)z(1-e-2iφμ²z²)eiφ)>0, equation*{document} </tex-math> where z∈ U, 0 μ 1 and φ∈ (-π/2, π/2), and which is associated with the Hohlov operator Lu, vʷ. For functions in this class, the coefficient bounds, as well as upper estimates for the Fekete-Szegö functional and the Hankel determinant, are investigated.