Results 1 to 10 of about 536,183 (317)
On Becker's univalence criterion [PDF]
arXiv, 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
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Univalent functions and integrable systems [PDF]
Communications in Mathematical Physics, 2004 We study one-parameter expanding evolution families of simply connected domains in the complex plane described by infinite systems of evolution parameters.
Prokhorov, Dmitri, Vasil'ev, Alexander
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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.
Matarneh K +4 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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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 $ $ if it satisfies $\partial^ _{\overline{z}}F=0.$ 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 ...
Layan El Hajj, Zayid Abdulhadi
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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–
Nicolae R. Pascu, Mihai N. Pascu
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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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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 ...
Obradović, Milutin +1 more
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