Upper Bounds for Certain Families of m-Fold Symmetric Bi-Univalent Functions Associating Bazilevic Functions with λ-Pseudo Functions

In this paper, we introduce and study a new families WΣₘ(λ, γ, δ ; α), WΣₘ^*(λ, γ, δ ; β), MΣₘ(λ, γ, δ ; α) and MΣₘ^*(λ, γ, δ ; β) of holomorphic and m-fold symmetric bi-univalent functions associating the Bazilevic functions with λ-pseudo functions defined in the open unit disk U. We find upper bounds for the first two Taylor-Maclaurin |aₘ₊₁| and |a2 m+1| for functions in these families. Further, we point out several special cases for our results.