Coefficient Estimates And Fekete-Szegӧ Inequalities For New Subclasses Of Bi-Univalent Functions Defined By Convolution Operator

This study presents a new convolution operator constructed through the Hadamard product of the Komatu integral operator with the Opoola differential operator.By applying quasi-subordination, two new subclasses of bi-univalent functions are defined in the open unit disk 𝑈.For these subclasses, estimates are obtained for the coefficients |𝒹 𝟸 | and |𝒹 3 |.In addition, the Fekete-Szegӧ inequalities are established for the introduced subclasses.Several known results are recovered as special cases by suitable choices of the involved parameters.

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Publication Details

Journal
International journal of engineering science and advanced technology.
Published
2026-11-01
DOI
https://doi.org/10.64771/ijesat.2026.v26.i11.4016
Primary Topic
Analytic and geometric function theory
Type
article
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article

Coefficient Estimates And Fekete-Szegӧ Inequalities For New Subclasses Of Bi-Univalent Functions Defined By Convolution Operator

Huda Hayder Jasim, Tuqa Mohammed Abd Alhussein
International journal of engineering science and advanced technology.
Analytic and geometric function theory
article

Coefficient Estimates And Fekete-Szegӧ Inequalities For New Subclasses Of Bi-Univalent Functions Defined By Convolution Operator

Huda Hayder Jasim, Tuqa Mohammed Abd Alhussein
article en

Abstract

This study presents a new convolution operator constructed through the Hadamard product of the Komatu integral operator with the Opoola differential operator.By applying quasi-subordination, two new subclasses of bi-univalent functions are defined in the open unit disk 𝑈.For these subclasses, estimates are obtained for the coefficients |𝒹 𝟸 | and |𝒹 3 |.In addition, the Fekete-Szegӧ inequalities are established for the introduced subclasses.Several known results are recovered as special cases by suitable choices of the involved parameters.

International journal of engineering science and advanced technology.Vol. 26(11)
Islamic University of Najaf (IQ)
Openalex Percentile: Top 7%
Analytic and geometric function theory
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