Results 1 to 10 of about 21,534 (315)

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

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

Convolution and Coefficient Estimates for (p,q)-Convex Harmonic Functions Associated with Subordination

Journal of Function Spaces, 2022
We preface and examine classes of (p, q)-convex harmonic locally univalent functions associated with subordination. We acquired a coefficient characterization of (p, q)-convex harmonic univalent functions.
Hasan Bayram, Sibel Yalçın
doaj   +1 more source

On Third-Order Differential Subordinations and Superordinations Results for Univalent Analytic Functions Defined by a New Operator

Wasit Journal for Pure Sciences, 2023
: In the current paper, we obtain sandwich theorems for univalent functions by using some of the finding of Third-order differential subordination and superordination for  univalent  functions defined by a new  operator  .
Ali Salamah
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

Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function

AIMS Mathematics, 2021
In this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function.
Murugusundaramoorthy Gangadharan, Vijaya Kaliyappan , Hijaz Ahmad, K. H. Mahmoud, E. M. Khalil   +4 more
doaj   +1 more source

On Becker's univalence criterion [PDF]

, 2017
We study locally univalent functions $f$ analytic in the unit disc $\mathbb{D}$ of the complex plane such that $|{f"(z)/f'(z)}|(1-|z|^2)\leq 1+C(1-|z|)$ holds for all $z\in\mathbb{D}$, for some ...
Huusko, Juha-Matti, Vesikko, Toni
core   +2 more sources

Bi-Bazilevič functions of order ϑ+iδ associated with (p,q)− Lucas polynomials

AIMS Mathematics, 2021
By means of(p,q)− Lucas polynomials, a class of Bazilevič functions of order ϑ+iδ in the open unit disk U of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete-Szegö inequalities for functions belonging
Ala Amourah , B. A. Frasin, G. Murugusundaramoorthy, Tariq Al-Hawary   +3 more
doaj   +1 more source

New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk [PDF]

Mathematics Interdisciplinary Research, 2020
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian, Ali Ebadian, Mohammad Reza Foroutan   +2 more
doaj   +1 more source

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

International Journal of Mathematical, Engineering and Management Sciences
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam   +3 more
doaj   +1 more source