Results 1 to 10 of about 6,253 (237)

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 problem for certain subclasses of bi-univalent functions defined by convolution [PDF]

Mathematica Moravica, 2016
In this paper, we consider a general subclass HλΣ (h, β) of bi-univalent functions. Bounds on the first two coefficients اa2ا and اa3ا for functions in HλΣ (h, β) are given. The main results generalize and improve a recent one obtained by Srivastava [18].
Altınkaya Sahsene, Yalçın Sibel
doaj   +1 more source

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

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

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

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

Initial coefficient bounds for certain new subclasses of bi-univalent functions with bounded boundary rotation

AIMS Mathematics, 2023
In the current article, we introduced new subclasses of bi-univalent functions associated with bounded boundary rotation. For these new classes, the authors first obtained two initial coefficient bounds.
Prathviraj Sharma , Srikandan Sivasubramanian, Nak Eun Cho   +2 more
doaj   +1 more source

Applications of a certain q-integral operator to the subclasses of analytic and bi-univalent functions

AIMS Mathematics, 2021
In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
Bilal Khan, H. M. Srivastava, Muhammad Tahir, Maslina Darus, Qazi Zahoor Ahmad, Nazar Khan   +5 more
doaj   +1 more source

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

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