Results 11 to 20 of about 325 (120)

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

Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination

Demonstratio Mathematica, 2023
In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination.
Shah Syed Ghoos Ali, Al-Sa’di Sa’ud, Hussain Saqib, Tasleem Asifa, Rasheed Akhter, Cheema Imran Zulfiqar, Darus Maslina   +6 more
doaj   +1 more source

A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator

Axioms, 2023
We introduce a comprehensive subfamily of analytic and bi-univalent functions in this study using Horadam polynomials and the q-analog of the Noor integral operator.
Daniel Breaz, Halit Orhan, Luminiţa-Ioana Cotîrlă, Hava Arıkan   +3 more
doaj   +1 more source

Coefficient Bounds and Fekete-Szeg¨o inequality for a Certain Families of Bi-Prestarlike Functions Defined by (M,N)-Lucas Polynomials [PDF]

, 2021
In the current work, we use the (M,N)-Lucas Polynomials to introduce a new families of holomorphic and bi-Prestarlike functions defined in the unit disk O and establish upper bounds for the second and third coefficients of the Taylor-Maclaurin series ...
Al-Ziadi, Najah Ali Jiben, Wanas, Abbas Kareem   +1 more
core   +2 more sources

Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives [PDF]

, 2022
In this paper, we introduce and study a new subclass of multivalent functions with respect to symmetric points involving higher order derivatives. In order to unify and extend various well-known results, we have defined the class subordinate to a conic ...
Karthikeyan, Kadhavoor R., Lakshmi, Sakkarai, Mohankumar, Dharmaraj, Umadevi, Elangho, Varadharajan, Seetharam   +4 more
core   +2 more sources

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