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Article

13 Citations

2,751 Views

10 Pages

Applications of Laguerre Polynomials on a New Family of Bi-Prestarlike Functions

Abbas Kareem Wanas and
Alina Alb Lupaş

Symmetry2022, 14(4), 645;https://doi.org/10.3390/sym14040645

22 March 2022

In this article, we establish the bounds for the initial Taylor–Maclaurin coefficients $| a_{2} |$ and $| a_{3} |$ for a new family $G_{Σ} (δ, ξ, λ; h)$ of holormorphic and bi-univalent functions which involve the prestarlike functions. Furtherm...

(This article belongs to the Section B: Mathematics)

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Article

30 Citations

3,022 Views

17 Pages

Initial Coefficient Estimates and Fekete–Szegö Inequalities for New Families of Bi-Univalent Functions Governed by (p − q)-Wanas Operator

Abbas Kareem Wanas and
Luminiţa-Ioana Cotîrlǎ

Symmetry2021, 13(11), 2118;https://doi.org/10.3390/sym13112118

8 November 2021

The motivation of the present article is to define the $(p - q)$ -Wanas operator in geometric function theory by the symmetric nature of quantum calculus. We also initiate and explore certain new families of holormorphic and bi-univalent functions $A_{E} (λ, σ,$ ...

(This article belongs to the Special Issue Symmetry in Functional Equations and Analytic Inequalities II)

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Article

8 Citations

2,133 Views

8 Pages

On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers

Daniel Breaz,
Abbas Kareem Wanas,
Fethiye Müge Sakar and
Seher Melike Aydoǧan

Mathematics2023, 11(15), 3304;https://doi.org/10.3390/math11153304

27 July 2023

One of the important problems regarding coefficients of analytical functions (i.e., Fekete–Szegö inequality) was raised by Fekete and Szegö in 1933. The results of this research are dedicated to determine upper coefficient estimates and the Fekete–Sz...

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