Coefficient Estimates on A New Subclasses Of Bi-Univalent Functions Defined Using Opoola Differential Operator And Associated With Quasi-Subordination

Ranjan S. Khatu; Uday H. Naik; Amol B. Patil

doi:10.36948/ijfmr.2025.v07i01.37322

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Coefficient Estimates on A New Subclasses Of Bi-Univalent Functions Defined Using Opoola Differential Operator And Associated With Quasi-Subordination

Author(s)	Ranjan S. Khatu, Uday H. Naik, Amol B. Patil
Country	India
Abstract	In this research paper, we investigate new subclasses R_∑▒‍^(μ,q,m) (λ,ϕ,γ,β,t) and UAR_∑▒‍^(λ,q,m) (ϕ,γ,β,t) of bi-univalent functions defined on the unit disk Δ in the complex plane using Opoola differential operator and quasi-subordination. Further, we find upper bounds of \|a_2 \| and \|a_3 \| for functions in these new subclasses.
Keywords	Analytic function, Bi-univalent function, Quasi-subordination, Subordination, Univalent function
Field	Mathematics
Published In	Volume 7, Issue 1, January-February 2025
Published On	2025-02-20
DOI	https://doi.org/10.36948/ijfmr.2025.v07i01.37322

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Coefficient Estimates on A New Subclasses Of Bi-Univalent Functions Defined Using Opoola Differential Operator And Associated With Quasi-Subordination

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