On the Hankel Determinant of m-fold Symmetric Bi-Univalent Functions Using a New Operator

Abstract

In this article, we aim to describe a new operator J_(s,a,μ)^(δ,λ) via convolution. Moreover, we aim to present a new subclass C_Σm (τ;β) related to m-fold symmetric bi-univalent functions in the open unit disk Θ={z∈C∶|z| ˂ 1 }. Finally, an estimate related to the Hankel determinant for functions in C_Σm (τ;β) are given.