Results 1 to 10 of about 3,690,143 (190)

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   +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

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

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

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

Bi-Univalent Function Classes Defined by Using an Einstein Function and a New Generalised Operator

Science and Technology Indonesia, 2023
Let A be the class of all analytic and univalent functions f (z) = z+Σ∞k=2 akzk in the open unit disc D = {z:|z|
Munirah Rossdy, Rashidah Omar, Shaharuddin Cik Soh   +2 more
doaj   +3 more sources

Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

Applied Mathematics in Science and Engineering, 2022
In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature.
Qiuxia Hu, Timilehin Gideon Shaba, Jihad Younis, Bilal Khan, Wali Khan Mashwani, Murat Çağlar   +5 more
doaj   +1 more source

Coefficients and Fekete–Szegö Functional Estimations of Bi-Univalent Subclasses Based on Gegenbauer Polynomials

Mathematics, 2023
Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
doaj   +1 more source

Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we obtain  upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2 ...
Halit Orhan, Hava Arikan, Murat Çağlar
doaj   +1 more source

Second Hankel determinant for a certain function class of bi-univalent functions associated with Salagean derivative operator [PDF]

European Journal of Mathematics and Applications, 2023
In this work, we investigate the bounds on the fourth initial coefficient $|a_4|$ and the second Hankel determinant $|a_2a_4 - a^ 2_3|$ for a class of analytic and bi-univalent functions defined in the open unit disk.
Ezekiel Abiodun Oyekan, Ayotunde Olajide Lasode, Oluwasegun Adeshina Olukoya, Peter Oluwafemi Adepoju   +3 more
doaj   +2 more sources