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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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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 +2 more
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Univalent harmonic mappings [PDF]
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1996 Summary: A family of univalent harmonic functions is studied from the point of geometric function theory. This class consists of mappings of the open unit disk onto the entire complex plane except for two infinite slits along the real axis with a normalization at the origin.
Öztürk, Metin, Yamankaradeniz, Mümin
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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
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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.
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Univalent functions having univalent derivatives [PDF]
Rocky Mountain Journal of Mathematics, 1986 Let T denote the family of functions \(f(z)=z-\sum^{\infty}_{n=2}a_ nz^ n\), \(a_ n\geq 0\), which are analytic and univalent in the unit disk \(\Delta =\{| z|
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Asymmetric switch costs in numeral naming and number word reading: Implications for models of bilingual language production [PDF]
, 2016 One approach used to gain insight into the processes underlying bilingual language comprehension and production examines the costs that arise from switching languages.
Peressotti, Francesca +2 more
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On the assimilation of instructions : stimulus-response associations are implemented but not stimulus-task associations [PDF]
, 2019 The assimilation of instructions consists of two stages. First, a task model is formed on the basis of instructions. Second, this model is implemented, resulting in highly accessible representations, which enable reflexive behavior that guides the ...
Liefooghe, Baptist +1 more
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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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Univalent functions with univalent Gelfond-Leontev derivatives [PDF]
Bulletin of the Australian Mathematical Society, 1984 Let be a nondecreasing sequence of positive numbers. We consider Gelfond-Leontev derivative Df(z), of a function , defined by for univalence and growth properties, and extend some results of Shah and Trimble. Set en = {d1d2 … dn), n≥l, e0 = 1, . Let r be the radius of convergence of p(z). We state parts of Theorem 1 and Corollaries. Let f and all Dkf,
Juneja, O. P., Shah, S. M.
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