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

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.

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Publication Details

Journal
International Journal For Multidisciplinary Research
Published
2025-02-20
DOI
https://doi.org/10.36948/ijfmr.2025.v07i01.37322
Primary Topic
Analytic and geometric function theory
Type
article
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article

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

Uday H. Naik, Amol Patil, Ranjan S. Khatu
International Journal For Multidisciplinary Research
Analytic and geometric function theory
article

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

Uday H. Naik, Amol Patil, Ranjan S. Khatu
article en

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.

International Journal For Multidisciplinary ResearchVol. 7(1)
Openalex Percentile: Top 93%
Analytic and geometric function theory
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Coefficient Estimates on A New Subclasses Of Bi-Univalent Functions Defined Using Opoola Differential Operator And Associated With Quasi-Subordination — Uday H. Naik, Amol Patil, et al. · International Journal For Multidisciplinary Research (2025) | TGRS Research Map | TGRS