Two Families of m-fold Symmetric Bi-univalent Functions Involving a Linear Combination of Bazilevic Starlike and Convex Functions

In the present paper, we define two new families K MΣₘ(λ, γ, δ ; α) and K MΣₘ^*(λ, γ, δ ; β) of holomorphic and m-fold symmetric bi-univalent functions associated with the Bazilevic starlike and convex functions 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.