Fekete‐Szegö Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials

A Amourah, BA Frasin… - Journal of Function …, 2021 - Wiley Online Library
In the present paper, a subclass of analytic and biunivalent functions by means of
Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to …

A generalization of Gegenbauer polynomials and bi-univalent functions

A Amourah, A Alsoboh, O Ogilat, GM Gharib, R Saadeh… - Axioms, 2023 - mdpi.com
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−
Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For …

Applications of Neutrosophic q-Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions

A Alsoboh, A Amourah, M Darus, RIA Sharefeen - Mathematics, 2023 - mdpi.com
By using the generalization of the neutrosophic q-Poisson distribution series, we introduce a
new subclass of analytic and bi-univalent functions defined in the open unit disk. We then …

[PDF][PDF] Bi-Bazilevic functions of order ϑ+ iδ associated with (p, q)-Lucas polynomials

A Amourah, BA Frasin, G Murugusundaramoorthy… - AIMS Math, 2021 - aimspress.com
By means of (p, q)− Lucas polynomials, a class of Bazilevic functions of order ϑ+ iδ in the
open unit disk U of analytic and bi-univalent functions is introduced. Further, we estimate …

A new comprehensive subclass of analytic bi-univalent functions related to gegenbauer polynomials

T Al-Hawary, A Amourah, A Alsoboh, O Alsalhi - Symmetry, 2023 - mdpi.com
In the current study, we provide a novel qualitative new subclass of analytical and bi-
univalent functions in the symmetry domain U defined by the use of Gegenbauer …

Coefficient estimates and Fekete–Szegö functional inequalities for a certain subclass of analytic and bi-univalent functions

M Illafe, A Amourah, M Haji Mohd - Axioms, 2022 - mdpi.com
The present paper introduces a new class of bi-univalent functions defined on a symmetric
domain using Gegenbauer polynomials. For functions in this class, we have derived the …

Coefficient related studies for new classes of bi-univalent functions

ÁO Páll-Szabó, GI Oros - Mathematics, 2020 - mdpi.com
Using the recently introduced Sălăgean integro-differential operator, three new classes of bi-
univalent functions are introduced in this paper. In the study of bi-univalent functions …

Application of Chebyshev polynomials to certain class of bi-Bazilevič functions of order

A Amourah, T Al-Hawary, BA Frasin - Afrika Matematika, 2021 - Springer
By means of Chebyshev polynomials, a class of Bazilevič functions of order α+ i β α+ i β in
the open unit disk UU of analytic and bi-univalent functions is introduced. Further, we …

Coefficients and Fekete–Szegö functional estimations of bi-univalent subclasses based on Gegenbauer polynomials

A Hussen, A Zeyani - Mathematics, 2023 - mdpi.com
Subclasses of analytic and bi-univalent functions have been extensively improved and
utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional. In …

Fekete–Szegö inequality for bi-univalent functions by means of Horadam polynomials

T Al-Hawary, A Amourah, BA Frasin - Boletín de la Sociedad Matematica …, 2021 - Springer
In this paper, make use of the Horadam polynomials, we introduce a comprehensive
subclass of analytic and bi-univalent functions. For functions belonging to this class we …