Results 21 to 30 of about 5,934,786 (218)

Bi-Univalent Function Classes Defined by Imaginary Error Function and Bernoulli Polynomials

Axioms
In recent years, special functions have played a significant role in the investigation of different subclasses within the class of bi-univalent functions. In this work, we present and investigate two new subclasses of bi-univalent functions defined in U={
Ibtisam Aldawish, Sondekola Rudra Swamy, Basem Aref Frasin, Supriya Chandrashekharaiah   +3 more
doaj   +2 more sources

Coefficient Bounds for a Subclass of Bi-Univalent Functions

CAUCHY: Jurnal Matematika Murni dan Aplikasi
In this paper, we obtain explicit upper bounds for the initial seven coefficients and their inverses for a subclass of bi-univalent functions defined via subordination. Using coefficient estimates associated with the Carathodory class and coefficient comparison techniques, expressions for the bounds of a2, a3, , a7 are derived.
Alifira Meliana Rachman, Marjono Marjono, Sa’adatul Fitri   +2 more
openaire   +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

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

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   +2 more sources

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

Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination [PDF]

, 2022
summary:This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc $E=\left\rbrace z:\mid z \mid
Singh, Gurmeet, Singh, Gurcharanjit, Singh, Gagandeep   +2 more
core   +1 more source

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

Subclass of bi-univalent function associated to Chebyshev polynomial [PDF]

, 2022
The Chebyshev polynomials are utilized in this study to define the subclass of the bi-univalent function. Also, Chebyshev polynomial bounds and Fekete-Szego inequalities for functions defined in the classes are established.Comment: 7 ...
Birajdar, G. M., Sangle, N. D.
core   +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