Results 1 to 10 of about 32,526 (223)

Coefficient Estimates for Certain Classes of Bi-Univalent Functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2013
A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
doaj   +3 more sources

New subclasses of bi-univalent functions

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Basem Aref Frasin
exaly   +4 more sources

Coefficient Bounds for Certain Subclasses of Bi-Univalent Function [PDF]

Abstract and Applied Analysis, 2013
We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses.
G. Murugusundaramoorthy, N. Magesh, V. Prameela   +2 more
doaj   +5 more sources

Bi-Univalent Function Classes Defined by Using a Second Einstein Function

Journal of Function Spaces, 2022
Motivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane.
Alaa H. El-Qadeem, Saleh A. Saleh, Mohamed A. Mamon   +2 more
doaj   +4 more sources

Modeling of complex physical and biological problems using bi-univalent function calculus [PDF]

Scientific Reports
In recent years, bi-univalent functions and fractional calculus have attracted considerable attention due to their strong theoretical foundations and potential applications in applied sciences.
Z. M. Saleh, A. O. Mostafa, M. A. Sohaly, S. M. Madian   +3 more
doaj   +2 more sources

Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain [PDF]

Heliyon
In this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain.
Khaled Matarneh, Ahmad A. Abubakar, Mohammad Faisal Khan, Suha B. Al-Shaikh, Mustafa Kamal   +4 more
doaj   +2 more sources

Coefficient Estimates for New Subclasses of Bi-Univalent Functions Involving Generalized Bivariate Fibonacci-like Polynomials [version 2; peer review: 2 approved] [PDF]

F1000Research
The study of bi-univalent functions plays an important role in geometric function theory, particularly in determining coefficient bounds for analytic functions.
Mustafa Husseinu, Mohammed H. Saloomi
doaj   +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.
H M Srivastava, P Gochhayat
exaly   +3 more sources

Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients

Axioms, 2023
A branch of complex analysis with a rich history is geometric function theory, which first appeared in the early 20th century. The function theory deals with a variety of analytical tools to study the geometric features of complex-valued functions.
Ebrahim Analouei Adegani, Mostafa Jafari, Teodor Bulboacă, Paweł Zaprawa   +3 more
doaj   +3 more sources

Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions [PDF]

Journal of Inequalities and Applications, 2018
In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on Δ={z:z∈C ...
F. Müge Sakar
doaj   +2 more sources