Coefficients Estimates for New Subclasses of  Bi-univalent Functions Using Convolution Operator

Authors

  • Asmaa KH. Abdul-Rahman Department of Mathematic, College of Sciences, Diyala of university, Diyala, Iraq https://orcid.org/0009-0001-6054-7601
  • Thamer Khalil MS. Al-Khafaji Department of Renewable Energy, College of Energy & Environmental Sciences, Al-Karkh University of Science, Baghdad, Iraq
  • Lieth A. Majed Department of Mathematic, College of Sciences, Diyala of university, Diyala, Iraq https://orcid.org/0000-0001-9063-205X

DOI:

https://doi.org/10.24996/ijs.2024.65.7.33

Keywords:

normalized analytic, bi-univalent function, estimate, integral operator

Abstract

      We offered and suggested some classes N_(Ω,b,α,γ)^(μ,δ) (ψ,τ,φ) and C_(Ω,b,α,γ)^(μ,δ) (τ,a,ψ,φ)  of bi-univalent functions in the unit disk υ, to apply the effects to the classes through convolution of the operators R_q^δ f(z) and I_(s,a,µ)^λ f(z). Which satisfies the condition quasi-subordination. We got estimates the first two Taylor-Maclaurin coefficients |a_2 |  and |a_3 | by convolution of the operators R_q^δ f(z) and I_(s,a,µ)^λ f(z) .

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Published

2024-07-30

Issue

Section

Mathematics

How to Cite

Coefficients Estimates for New Subclasses of  Bi-univalent Functions Using Convolution Operator. (2024). Iraqi Journal of Science, 65(7), 3957-3966. https://doi.org/10.24996/ijs.2024.65.7.33

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