Results 21 to 30 of about 3,606 (203)
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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Univalence Criteria for Two Integral Operators
Abstract and Applied Analysis, 2012 We study the univalence conditions for two integral operators to be univalent in the open unit disk. Many known univalence conditions are written to prove our main results.
Laura Filofteia Stanciu, Daniel Breaz
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A Connection between Basic Univalence Criteria
Abstract and Applied Analysis, 2013 We obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and ...
Horiana Tudor
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Michigan Mathematical Journal, 1985 Let f be meromorphic and locally univalent in the upper half plane U with Schwarzian derivative S(f,z). Suppose that \(| 2(Im z)S(f,z)-c(c- 1)| \leq k| c|\) for all \(z\in U\).
Anderson, J. M., Hinkkanen, A.
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper we define a general integral operator for analytic functions in the open unit disk and we determine some conditions for univalence of this integral operator.
Pescar Virgil, Breaz Daniel
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On Univalent Polynomials [PDF]
Proceedings of the American Mathematical Society, 1976 We define V n ⊆ C n − 1 {V_n} \subseteq {{\mathbf {C}}^{n - 1}} to be the set of ( n −
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, 2019 We introduce and develop the notion of *displayed categories*. A displayed category over a category C is equivalent to "a category D and functor F : D --> C", but instead of having a single collection of "objects of D" with a map to the objects of C ...
Ahrens, Benedikt +1 more
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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 Foundations and the UniMath Library [PDF]
, 2018 We give a concise presentation of the Univalent Foundations of mathematics outlining the main ideas, followed by a discussion of the UniMath library of formalized mathematics implementing the ideas of the Univalent Foundations (section 1), and the ...
A Borel +13 more
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Schwarzian Derivatives and Uniform Local Univalence
, 2007 Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic
Chuaqui, Martin +2 more
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