Results 11 to 20 of about 134 (91)

Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials

Journal of Mathematics, 2022
In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad, Syed Ghoos Ali Shah, Saqib Hussain, Maslina Darus, Babar Ahmad   +4 more
doaj   +2 more sources

On a Subfamily of Analytic Functions Associated With q-Sălăgean Operator

Journal of Mathematics
In this article, we study a new subfamily of analytic functions associated with q-Janowski function using q-Sălăgean operator. We explore certain properties of the functions belonging to this new class which include sufficient condition, inclusion ...
Ihtesham Gul, Mohammed Ali Alamri, Khalida Inayat Noor, Saqib Hussain, Maslina Darus, Saima Noor   +5 more
doaj   +2 more sources

Fibonacci Numbers Related to Some Subclasses of Bi-Univalent Functions

International Journal of Mathematics and Mathematical Sciences
This research paper introduces the novel subclass ϒΣϑ,β,μq˜ of bi-univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient a2 and ...
Ala Amourah, Basem Aref Frasin, Jamal Salah, Tariq Al-Hawary   +3 more
doaj   +2 more sources

Initial Coefficient Estimates for Bi-Univalent Functions Related to Generalized Telephone Numbers

Journal of Mathematics
This study defines three novel classes of bi-univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients a2 and a3 and Fekete–Szegö functional problems for functions ...
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Sunil Dutt Purohit, null Shyamsunder, Daya Lal Suthar   +4 more
doaj   +2 more sources

On the Determinants for a Class of Analytic Function Using Sigmoid Beta-Catas Operator

Journal of Function Spaces
Geometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions.
Olubunmi A. Fadipe-Joseph, Olanike R. Oluwaseyi, E. O. Opaleye, Uzoamaka A. Ezeafulukwe   +3 more
doaj   +2 more sources

Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we obtain  upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2 ...
Halit Orhan, Hava Arikan, Murat Çağlar
doaj   +1 more source

A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers

Journal of Function Spaces, 2021
By using k-Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type gz=z+∑j=2∞ djzj in the open unit disc D.
Basem Aref Frasin, Sondekola Rudra Swamy, Ibtisam Aldawish   +2 more
doaj   +1 more source

Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions

Mathematics, 2023
In this article, we use the q-derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q-Ruscheweyh operator.
Huo Tang, Ihtesham Gul, Saqib Hussain, Saima Noor   +3 more
doaj   +1 more source

Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
wiley   +1 more source

COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS

Проблемы анализа, 2021
The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in 𝔇 = {𝑧 ∈ C : |𝑧| < 1} linked with Gegenbauer polynomials.
S. R. Swamy, S. Yalçın
doaj   +1 more source