Results 21 to 30 of about 32,526 (223)

Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions

Axioms
New subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4.
Suliman M. Sowileh, Gangadharan Murugusundaramoorthy, Borhen Halouani, Ibrahim S. Elshazly, Mohamed A. Mamon, Alaa H. El-Qadeem   +5 more
doaj   +2 more sources

On certain subclasses of analytic and bi-univalent functions

Journal of the Egyptian Mathematical Society, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lashin, A.Y.
openaire   +2 more sources

Subclasses of bi-univalent functions defined by convolution

Journal of the Egyptian Mathematical Society, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Ashwah, R.M.
openaire   +2 more sources

THE FEKETE-SZEGO PROBLEMS FOR SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SIGMOID FUNCTION [PDF]

, 2022
The purpose of this article is to introduce a new subclass of analytic and bi-univalent functions, in associated with sigmoid function and to investigate the upper bounds for |a2| and |a3|, where a2, a3 are the initial Taylor-Maclaurin coefficients ...
Murugusundaramoorthy, Gangadharan, Orhan, Halit, Caglar, Murat   +2 more
core   +1 more source

Results on BI-univalent Functions [PDF]

Proceedings of the American Mathematical Society, 1981
When the class σ \sigma of bi ...
Styer, D., Wright, D. J.
openaire   +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. For functions falling within these subclasses, coefficient bounds a2 and a3 as well as Fekete–Szegö inequalities are derived. Specializing the parameters used in our main results leads
Ala Amourah, Abdullah Alsoboh, Osama Ogilat, Gharib Gharib, Rania Saadeh, Maha Al Soudi   +5 more
openaire   +2 more sources

Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions [PDF]

, 2022
summary:We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda $-pseudo-starlike functions with Sakaguchi-type functions.
Frasin, Basem Aref, Wanas, Abbas Kareem
core   +1 more source

Sharp Bounds of the Fekete–Szegö Problem and Second Hankel Determinant for Certain Bi-Univalent Functions Defined by a Novel q-Differential Operator Associated with q-Limaçon Domain

Fractal and Fractional, 2023
In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator ...
Timilehin Gideon Shaba, Serkan Araci, Babatunde Olufemi Adebesin, Fairouz Tchier, Saira Zainab, Bilal Khan   +5 more
doaj   +1 more source

An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions

Axioms, 2022
In this study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients a2 and a3 and Fekete-Szegö problems for functions belonging to RΣμ(x,γ,α,δ,β) have been derived as well.
Ala Amourah, Ibtisam Aldawish, Khadeejah Rasheed Alhindi, Basem Aref Frasin   +3 more
openaire   +2 more sources

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are ...
Arzu Akgul
doaj   +1 more source