Maclaurin Coefficient Estimates for a New General Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions

The purpose of the present paper is to introduce and investigate two new general subclasses M A_Σₘ(δ, λ ; α) and M A_Σₘ(δ, λ ; β) of Σₘ consisting of holomorphic and m-fold symmetric bi-univalent functions defined in the open unit disk U. For functions belonging to the two classes introduced here, we derive estimates on the initial coefficients |dₘ₊₁| and |d2 m+1|. We get new special cases for our results. In addition, Several related classes are also investigated and connections to earlier known outcomes are made.