NEIGHBOURHOODS OF UNIVALENT FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractThe main result shows that a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighbourhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro–
Pascu, Mihai N., Pascu, Nicolae R.
openaire +3 more sources
On Certain Properties of a Univalent Function Associated with Beta Function
Abstract and Applied Analysis, 2022 Beta function has some applications in differential equations and other areas of sciences and engineering where certain definite integrals are used. However, its applications to univalent functions have not been explored based on the available literature.
Matthew Olanrewaju Oluwayemi +2 more
doaj +2 more sources
Modeling of complex physical and biological problems using bi-univalent function calculus [PDF]
Scientific ReportsIn 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 +3 more
doaj +2 more sources
Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain [PDF]
HeliyonIn 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 +4 more
doaj +2 more sources
Bounds on Hankel Determinants with Fekete-Szegö Parameter for Bazilević Functions [version 2; peer review: 2 approved, 1 not approved] [PDF]
F1000ResearchBackground In Geometric Function Theory, a central area of complex analysis, researchers study the geometric properties of analytic and univalent functions in the unit disk.
Abdul Rahman S.Juma, Nathir Khaled
doaj +2 more sources
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 +2 more
doaj +3 more sources
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 +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
On the Univalence of Poly-analytic Functions [PDF]
Computational Methods and Function Theory, 2021 A continuous complex-valued function $F$ in a domain $D\subseteq\mathbf{C}$ is Poly-analytic of order $α$ if it satisfies $\partial^α_{\overline{z}}F=0.$ One can show that $F$ has the form $F(z)={\displaystyle\sum\limits_{0}^{n-1}}\overline{z}^{k}A_{k}(z)$, where each $A_k$ is an analytic function$.$ In this paper, we prove the existence of a Landau ...
Abdulhadi, Zayid, Hajj, Layan El
openaire +2 more sources
Product of univalent functions [PDF]
Mathematical and Computer Modelling, 2013 Abstract Let S denote the class of functions f analytic and univalent in the unit disk | z | 1 normalized such that f ( 0 ) = 0 = f ′ ( 0 ) − 1 . In this article the authors discuss the radius of univalence of F ( z ) = g ( z ) h ( z ) / z when g and h belong ...
Milutin Obradovic, Saminathan Ponnusamy
openaire +2 more sources