Results 61 to 70 of about 140 (94)

Coefficient Bounds for q‐Noshiro Starlike Functions in Conic Region

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
We present and examine a new family of analytic functions that can be described by a q‐Ruscheweyh differential operator. We discuss several novel results, including coefficient inequalities and other noteworthy properties such as partial sums and radii of starlikeness.
V. Malathi, K. Vijaya, H. Ozlem Guney
wiley   +1 more source

Coefficient Estimates and Fekete–Szegö Functional Inequalities for a Certain Subclass of Analytic and Bi-Univalent Functions

Axioms, 2022
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 estimates of the Taylor–Maclaurin coefficients, a2 and a3, and the Fekete ...
Mohamed Illafe, Ala Amourah, Maisarah Haji Mohd   +2 more
doaj   +1 more source

Fibonacci Numbers Related to Some Subclasses of Bi‐Univalent Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
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 the third coefficient |a3| for functions within this specific subclass.
Ala Amourah, Basem Aref Frasin, Jamal Salah, Tariq Al-Hawary, Mohamed A. Eltaher   +4 more
wiley   +1 more source

The Study of the New Classes of m-Fold Symmetric bi-Univalent Functions

Mathematics, 2021
In this paper, we introduce three new subclasses of m-fold symmetric holomorphic functions in the open unit disk U, where the functions f and f−1 are m-fold symmetric holomorphic functions in the open unit disk.
Daniel Breaz, Luminiţa-Ioana Cotîrlă
doaj   +1 more source

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

Journal of Mathematics, Volume 2024, Issue 1, 2024.
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 involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Sunil Dutt Purohit, Shyamsunder, Daya Lal Suthar, Ming-Sheng Liu   +5 more
wiley   +1 more source

Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin

Mathematics, 2022
In this paper, we carry out a systematic study to discover the properties of a subclass of meromorphic starlike functions defined using the Mittag–Leffler three-parameter function.
Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi   +2 more
doaj   +1 more source

Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions Linked with Lucas-Balancing Polynomials

Mathematics
We investigate some subclasses of regular and bi-univalent functions in the open unit disk that are associated with Lucas-Balancing polynomials in this work.
Sondekola Rudra Swamy, Daniel Breaz, Kala Venugopal, Mamatha Paduvalapattana Kempegowda, Luminita-Ioana Cotîrlă, Eleonora Rapeanu   +5 more
doaj   +1 more source

On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination

International Journal of Mathematics and Mathematical Sciences, 2010
The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip(r,λ)f(z))(j+1)/(p-j)(Ip(r,λ)f(z))(j)≺(a+(aB+(A-B)β)z)/a(1+Bz), where Ip(r,λ) is an operator defined by Sălăgean ...
Abdolreza Tehranchi, Adem Kılıçman
doaj   +1 more source

On Certain Classes of Convex Functions

International Journal of Mathematics and Mathematical Sciences, 2013
For real numbers α and β such that 0 ...
Young Jae Sim, Oh Sang Kwon
doaj   +1 more source

The second Hankel determinant and the Fekete-Szegö functional for a subclass of analytic functions by using the q-Sălăgean derivative operator

Alexandria Engineering Journal
The current study’s researchers create a new family of analytic functions in the open unit disk Λ by generalizing the q-difference operator. Our study lays a foundational understanding of the behavior of this functions.
Ekram E. Ali, H.M. Srivastava, Wafaa Y. Kota, Rabha M. El-Ashwah, Abeer M. Albalah   +4 more
doaj   +1 more source