Results 1 to 10 of about 10,555,595 (364)

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   +2 more sources

Quasi-convex univalent functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 1980
In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
doaj   +2 more sources

Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials [PDF]

Mathematical Problems in Engineering, 2022
In this work, we introduce and investigate a new subclass of analytic bi-univalent functions based on subordination conditions between the zero-truncated Poisson distribution and Gegenbauer polynomials.
Ala Amourah, Mohammad W. Alomari, Feras Yousef, Abdullah Alsoboh   +3 more
openalex   +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

Upper Bounds of the Third Hankel Determinant for Bi-Univalent Functions in Crescent-Shaped Domains [PDF]

Symmetry
This paper investigates the third Hankel determinant, denoted H3(1), for functions within the subclass RS∑*(λ) of bi-univalent functions associated with crescent-shaped regions φ⦅z=z+1+z2. The primary aim of this study is to establish upper bounds for H3(
Qasim Ali Shakir, Adel Salim Tayyah, Daniel Breaz, Luminiţa-Ioana Cotîrlă, Eleonora Răpeanu, Fethiye Müge Sakar   +5 more
openalex   +2 more sources

Nonvanishing univalent functions III

Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985
In two previous papers [Math. Z. 170, 195-216 (1980; Zbl 0411.30010) and Ann. Univ. Mariae Curie-Skłodowska, Sect. A 36/37 (1982-83), 33-43 (1983; Zbl 0572.30020)] we studied the class \(S_ 0\) of functions f analytic, univalent, and nonvanishing in the unit disk D, with \(f(0)=1\).
Duren, Peter L. (1935- ), Schober, Glenn (1938- )   +1 more
openaire   +5 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

Univalency of Certain Transform of Univalent Functions

Proceedings of the Bulgarian Academy of Sciences, 2023
We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.
Obradović, Milutin, Tuneski, Nikola
openaire   +3 more sources

Univalent harmonic functions [PDF]

Transactions of the American Mathematical Society, 1987
Several families of complex-valued, univalent, harmonic functions are studied from the point of view of geometric function theory. One class consists of mappings of a simply-connected domain onto an infinite horizontal strip with a normalization at the origin.
Hengartner, W., Schober, G.
openaire   +1 more source

Univalence Criteria for Locally Univalent Analytic Functions

Ukrainian Mathematical Journal, 2023
UDC 517.5 Suppose that  p ( z ) = 1 + z ϕ ' ' ( z ) / ϕ ' ( z ) , where   ϕ ( z ) is a locally univalent analytic function in the unit disk D   with ϕ ( 0 ) = ϕ ' ( 1 ) - 1 = 0.   We establish the lower and upper bounds for the best constants σ 0
Hu, Zhenyong, Fan, Jinhua, Wang, Xiaoyuan   +2 more
openaire   +1 more source