Results 21 to 30 of about 75,857 (270)

Estimates of Initial Coefficients for Bi-Univalent Functions [PDF]

Abstract and Applied Analysis, 2014
We consider the Fekete-Szegö inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013).
Paweł Zaprawa
doaj   +4 more sources

Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator

Mathematics, 2020
Let Ω denote the class of functions f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ belonging to the normalized analytic function class A in the open unit disk U = z : z
Ibtisam Aldawish, Tariq Al-Hawary, B. A. Frasin   +2 more
doaj   +3 more sources

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

International Journal of Mathematical, Engineering and Management Sciences
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam   +3 more
doaj   +2 more sources

A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

Axioms, 2023
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials.
A. Amourah, A. Alsoboh, O. Ogilat, Gharib Gharib, Rania Saadeh, Maha Al Soudi   +5 more
semanticscholar   +3 more sources

Subordination Properties of Bi-Univalent Functions Involving Horadam Polynomials

Journal of Function Spaces
In this research, we investigate a family of q-extensions defined on an open unit disk, which is based on bi-univalent functions associated with differential subordination.
Ebrahim Amini, Shrideh Al-Omari
doaj   +2 more sources

An Application of Miller–Ross-Type Poisson Distribution on Certain Subclasses of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials

Mathematics, 2022
The Miller–Ross-type Poisson distribution is an important model for plenty of real-world applications. In the present analysis, we study and introduce a new class of bi-univalent functions defined by means of Gegenbauer polynomials with a Miller–Ross ...
Ala Amourah, Basem Aref Frasin, Tamer M. Seoudy   +2 more
doaj   +3 more sources

On a New Class of Concave Bi-Univalent Functions Associated with Bounded Boundary Rotation

Mathematics
In this research article, we introduce a new subclass of concave bi-univalent functions associated with bounded boundary rotation defined on an open unit disk. For this new class, we make an attempt to find the first two initial coefficient bounds.
Prathviraj Sharma, Srikandan Sivasubramanian, Gangadharan Murugusundaramoorthy, Nak Eun Cho   +3 more
doaj   +2 more sources

Upper Bounds of the Third Hankel Determinant for Bi-Univalent Functions in Crescent-Shaped Domains [PDF]

Symmetry
This paper investigates the third Hankel determinant, denoted H3(1), for functions within the subclass RS∑*(λ) of bi-univalent functions associated with crescent-shaped regions φ⦅z=z+1+z2. The primary aim of this study is to establish upper bounds for H3(
Qasim Ali Shakir, A. S. Tayyah, D. Breaz, Luminiţa-Ioana Cotîrlǎ, Eleonora Rapeanu, F. Sakar   +5 more
semanticscholar   +2 more sources

Certain subclasses of analytic and bi-univalent functions

Applied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Srivastava, H.M., Mishra, A.K., Gochhayat, P.   +2 more
openaire   +4 more sources

A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials

Symmetry, 2023
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 polynomials.
T. Al-Hawary, A. Amourah, A. Alsoboh, O. Alsalhi   +3 more
semanticscholar   +3 more sources