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

Year 2023, Volume: 36 Issue: 1, 349 - 360, 01.03.2023

Waggas Galıb Reaam Abd Al-sajjad Şahsene Altınkaya

https://doi.org/10.35378/gujs.958309

Cited By: 2

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. 

Keywords

Univalent function, Coefficient estimate, Hankel determinant

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