Results 1 to 10 of about 2,185 (268)
PLANAR HARMONIC MAPPINGS WITH A GIVEN JACOBIAN
Проблемы анализа, 2023 The article is devoted to the study of the Jacobians of sense-preserving harmonic mappings in the unit disk of the complex plane. The main result is a criterion for an infinitely differentiable positive function to be a Jacobian of some sense-preserving
S. Yu. Graf, I. A. Nikitin
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On Convolution and Convex Combination of Harmonic Mappings
Journal of Mathematics, 2021 In this paper, the subclass of harmonic univalent functions by shearing construction is studied and this subclass of harmonic mappings needs a necessary and adequate condition to be convex in the horizontal direction.
Ahmad Sulaiman Ahmad El-Faqeer +2 more
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A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation [PDF]
Sahand Communications in Mathematical Analysis, 2021 We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness, radius of convexity.
Deeplai Khurana +3 more
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Convolutions of Harmonic Mappings Convex in the Horizontal Direction
Journal of Function Spaces, 2021 In this paper, we establish some results concerning the convolutions of harmonic mappings convex in the horizontal direction with harmonic vertical strip mappings.
Serkan Çakmak +2 more
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Normality of the p-Harmonic and Log-p-Harmonic Mappings
Journal of Function Spaces, 2020 In this paper, the concepts of p-harmonic mappings and log-p-harmonic mappings in the unit disk have been introduced and studied by many researchers. We proved the normality of the p-harmonic mappings and log-p-harmonic mappings, which extend the related
Qinghua Jiang +2 more
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On Bohr's inequality for special subclasses of stable starlike harmonic mappings
Open Mathematics, 2023 The focus of this article is to explore the Bohr inequality for a specific subset of harmonic starlike mappings introduced by Ghosh and Vasudevarao (Some basic properties of certain subclass of harmonic univalent functions, Complex Var. Elliptic Equ. 63 (
Jin Wei +3 more
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REDUCED p-MODULUS, p-HARMONIC RADIUS AND p-HARMONIC GREEN’S MAPPINGS
Проблемы анализа, 2018 We consider the definitions and properties of the metric characteristics of the spatial domains previously introduced by the author, and their connection with the class of mappings, the particular case of which are the harmonic Green’s mappings ...
B. E. Levitskii
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On convex combinations of harmonic mappings
Journal of Inequalities and Applications, 2020 Let ψ μ , ν ( z ) = ( 1 − 2 cos ν e i μ z + e 2 i μ z 2 ) − 1 $\psi_{\mu,\nu}(z)=(1-2\cos\nu e^{i\mu}z+e^{2i\mu}z^{2})^{-1}$ , μ , ν ∈ [ 0 , 2 π ) $\mu,\nu\in[0,2\pi)$ and p be an analytic mapping with Re p > 0 $\operatorname{Re} p>0$ on the open unit ...
Subzar Beig, Young Jae Sim, Nak Eun Cho
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Convolutions of harmonic right half-plane mappings
Open Mathematics, 2016 We first prove that the convolution of a normalized right half-plane mapping with another subclass of normalized right half-plane mappings with the dilatation −z(a+z)/(1+az)$ - z(a + z)/(1 + az)$ is CHD (convex in the horizontal direction) provided a=1$a
Li YingChun, Liu ZhiHong
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Quasiconformal extension for harmonic mappings on finitely connected domains
Comptes Rendus. Mathématique, 2021 We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane, all of whose boundary components are either points or quasicircles, admits a quasiconformal extension to the whole plane if its Schwarzian derivative is ...
Efraimidis, Iason
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