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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
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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 +2 more
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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
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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 +2 more
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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
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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.
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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
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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
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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
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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 +5 more
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