Results 41 to 50 of about 1,163,094 (200)
A distortion theorem for quasiconformal mappings
, 1986 . — A distortion theorem for quasi con formal mappings. We extend to quasi-conformal mappings in the unit ball of R" a theorem of Pommcrenke concerning conformal mappings in the unit disk of the plane.
M. Zinsmeister
semanticscholar +1 more source
Abstract and Applied Analysis, 2022 In this work, we shall derive a new subclass of univalent analytic functions denoted by Hα,β,γ,k,λ,m in the open unit disk D=z∈ℂ ...
Ma’moun I. Y. Alharayzeh, Firas Ghanim
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A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator
Concrete Operators, 2021 In this paper,we introduce and study a new subclass of meromorphic functions associated with a certain differential operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, growth and distortion theorem ...
Venkateswarlu B. +3 more
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Density Functional Theory for the Study of the Multimode Jahn-Teller Effect
CHIMIA, 2010 The Jahn-Teller (JT) theorem states that in a molecule with a degenerate electronic state, a structural distortion must occur that lowers the symmetry, removes the degeneracy and lowers the energy.
Matija Zlatar +3 more
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A sharp form of the Ahlfors’ distortion theorem, with applications
, 1984 The constant appearing in the asymptotic version of the Ahlfors' distortion theorem is 1. Also it is shown that for mean I -valent functions f = z + a2 Z9 IIa,n+II-Ia,,II < I for n 2 N(f ).
D. H. Hamilton
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Entropy, 2015 Assuming sparsity or compressibility of the underlying signals, compressed sensing or compressive sampling (CS) exploits the informational efficiency of under-sampled measurements for increased efficiency yet acceptable accuracy in information gathering,
Jingxiong Zhang +3 more
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Two-point distortion theorems for harmonic mappings [PDF]
arXiv, 2022 We establish two-point distortion theorems for sense-preserving planar harmonic mappings $f=h+\overline{g}$ which satisfies the univalence criteria in the unit disc such that, Becker's and Nehari`s harmonic version. In addition, we find the sharp two-point distortion theorem when $h$ is a convex function, and normalized mappings such that $h(\D)$ is a $
arxiv
Class of Analytic Function Related with Uniformly Convex and Janowski’s Functions
Journal of Function Spaces, 2018 In this paper, we introduce a new subclass of analytic functions in open unit disc. We obtain coefficient estimates, extreme points, and distortion theorem. We also derived the radii of close-to-convexity and starlikeness for this class.
Akhter Rasheed +3 more
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Utility–Privacy Trade-Offs with Limited Leakage for Encoder
Entropy, 2023 The utilization of databases such as IoT has progressed, and understanding how to protect the privacy of data is an important issue. As pioneering work, in 1983, Yamamoto assumed the source (database), which consists of public information and private ...
Naruki Shinohara, Hideki Yagi
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Planar mappings of subexponentially integrable distortion -- integrability of distortion of inverses [PDF]
arXiv, 2016 We establish the optimal regularity for the distortion of inverses of mappings of finite distortion with logarithm-iterated style subexponentially integrable distortion, which generalizes the Theorem 1. of [J. Gill, Ann. Acad. Sci. Fenn. Math. 35 (2010), no. 1, 197--207].
arxiv