Results 31 to 40 of about 35,490 (309)
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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Brief Study On A New Family of Analytic Functions [PDF]
Sahand Communications in Mathematical AnalysisThe authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory in the open unit disk $\mathbb{
Jamiu Hamzat +2 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
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Univalence of normalized solutions of W″(z)+p(z)W(z)=0
International Journal of Mathematics and Mathematical Sciences, 1982 Denote solutions of W″(z)+p(z)W(z)=0 by Wα(z)=zα[1+∑n=1∞anzn] and Wβ(z)=zβ[1+∑n=1∞bnzn], where ...
R. K. Brown
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Demonstratio Mathematica, 2002 Let \(A\) denote the class of all analytic functions \(f(z)\) defined in the open unit disc of the complex plane and normalized by \(f(0)= 0\), \(f'(0)= 1\). Let \(S\) denote the subclass of \(A\) consisting of univalent functions. In this paper the authors prove that if \(f\in A\) with \[ \text{Re}\Biggl\{e^{i\theta} {zf''(z)\over f'(z)}\Biggr\}\leq{1\
Blezu, Dorin, Pascu, Nicolae N.
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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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On certain classes of close-to-convex functions
International Journal of Mathematics and Mathematical Sciences, 1993 A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
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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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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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, 2018 In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are
Gochhayat, P. +2 more
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