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

Authors : Waggas GALIB, Reaam Abd AL-SAJJAD, Şahsene ALTINKAYA

Pages : 349-360

Doi:10.35378/gujs.958309

View : 16 | Download : 5

Publication Date : 2023-03-01

Article Type : Research Paper

Abstract :In this article, we aim to describe a new operator J_insert ignore into journalissuearticles values(s,a,μ);^insert ignore into journalissuearticles values(δ,λ); via convolution. Moreover, we aim to present a new subclass C_Σm insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(τ;β); are given. 
Keywords : Univalent function, Coefficient estimate, Hankel determinant