Results 1 to 10 of about 580,998 (225)

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

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

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

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

Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions. [PDF]

Int Sch Res Notices, 2014
We introduce and investigate two new subclasses Mσα,λ and Mσβ,λ of meromorphic bi-univalent functions defined on Δ={z:z∈C,1<|z|<∞}. For functions belonging to these classes, estimates on the initial coefficients are obtained.
Bulut S.
europepmc   +6 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 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   +4 more sources

Development of Novel Subclasses for Bi-Univalent Functions

ASM Science Journal, 2021
This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator.
MUNIRAH ROSSDY, RASHIDAH OMAR, SHAHARUDDIN CIK SOH   +2 more
doaj   +3 more sources

Initial Coefficient Bounds for interesting Subclasses of Meromorphic and and Bi-Univalent Functions [PDF]

Journal of Mahani Mathematical Research, 2022
In this paper, we investigate an interesting subclass of univalent functions. Also, we introduce a new subclass of meromorphic bi-univalent functions. We obtain the estimates on the initial Taylor-Maclurin Coefficients for functions in the interesting ...
Hormoz Rahmatan, Shahram Najafzadeh, Hakimeh Haji   +2 more
doaj   +1 more source