Results 11 to 20 of about 28,174 (201)
On Becker's univalence criterion [PDF]
Journal of Mathematical Analysis and Applications, 2018 14 pages, 1 ...
Juha-Matti Huusko, Toni Vesikko
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A first-order differential double subordination with applications [PDF]
, 2011 Let $q_1$ and $q_2$ belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions $p$ to satisfy the double subordination chain $q_1(z)
Ali +20 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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One Criterion for Univalency [PDF]
Proceedings of the American Mathematical Society, 1989 In this note we give one criterion for the functions f ( z ) = z + a 2 z 2 + ⋯ f\left ( z \right ) = z + {a_2}{z^2} + \cdots to be univalent in
Shigeyoshi Owa +2 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–
Nicolae R. Pascu, Mihai N. Pascu
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Boundary distortion estimates for holomorphic maps
, 2013 We establish some estimates of the the angular derivatives from below for holomorphic self-maps of the unit disk at one and two fixed points of the unit circle provided there is no fixed point inside the unit disk. The results complement Cowen-Pommerenke
Frolova, A. +3 more
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Towards a constructive simplicial model of Univalent Foundations
, 2021 We provide a partial solution to the problem of defining a constructive version of Voevodsky's simplicial model of univalent foundations. For this, we prove constructive counterparts of the necessary results of simplicial homotopy theory, building on the
Gambino, Nicola, Henry, Simon
core
On a class of univalent functions
Applied Mathematics Letters, 2012 AbstractLet A be the class of analytic functions in the unit disk D with the normalization f(0)=f′(0)−1=0. Denote by N the class of functions f∈A which satisfy the condition |−z3(zf(z))‴+f′(z)(zf(z))2−1|≤1,z∈D. We show that functions in N are univalent in D but not necessarily starlike.
Obradović, Milutin +1 more
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Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings [PDF]
, 2013 In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss the coefficient estimates and Landau's Theorem for some classes of locally univalent harmonic mappings, and then we study some ...
Chen, Shaolin +2 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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