Results 11 to 20 of about 1,251 (79)
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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Converse Sturm-Hurwitz-Kellogg theorem and related results [PDF]
, 2007 The classical Sturm-Hurwitz-Kellogg theorem asserts that a function, orthogonal to an n-dimensional Chebyshev system on a circle, has at least n+1 sign changes.
Tabachnikov, S.
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Pre-Schwarzian derivative for Logharmonic mapppings
, 2020 We introduce a new definition of pre-Schwarzian derivative for logharmonic mappings and basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzain is stable only with respect to rotations of the identity.
Bravo, V., Hernandez, R., Venegas, O.
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GEOMETRIC PROPERTIES FOR INTEGRO-DIFFERENTIAL OPERATOR INVOLVING THE PRE-SCHWARZIAN DERIVATIVE [PDF]
International Journal of Pure and Apllied Mathematics, 2016 Recently, the study of operators theory (differential, integral, integro-differential) has been increased. It appears widely in the geometric function theory, to create some gen- eralized subclasses of analytic functions. In this effort, we introduce a generalized integro- differential operator Jm(z) and obtain its properties by utilizing the pre ...
Abdulnaby, Z.E. +2 more
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Norm Estimates of the Pre-Schwarzian Derivatives for Functions with Conic-like Domains
Mathematics, 2023 The pre-Schwarzianand Schwarzian derivatives of analytic functions f are defined in U, where U is the open unit disk. The pre-Schwarzian as well as Schwarzian derivatives are popular tools for studying the geometric properties of analytic mappings.
Sidra Zafar +3 more
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Zero curvature conditions and conformal covariance [PDF]
, 1993 Two-dimensional zero curvature conditions with special emphasis on conformal properties are investigated in detail and the appearance of covariant higher order differential operators constructed in terms of a projective connection is elucidated.
Akemann, G, Grimm, R
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On the quantum stress tensor for extreme 2D Reissner-Nordstrom black holes [PDF]
, 2004 Contrary to previous claims, it is shown that the expectation values of the quantum stress tensor for a massless scalar field propagating on a two-dimensional extreme Reissner-Nordstrom black hole are indeed regular on the horizon.Comment: 5 pages ...
Alessandro Fabbri +5 more
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Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives
Journal of Mathematical Analysis and Applications, 2004 Let \(A\) be the class of functions analytic in the unit disk \({\mathbf D}= \{{\mathbf z}:|{\mathbf z}|< 1\}\) and normalized by \(f(0)= 0\), \(f'(0)= 1\). In 1969 Hornich investigated the operators \[ f\oplus g(z)= \int^z_0 f'(w) g'(w)\,dw;\quad \alpha* f(z)= \int^z_0 (f'(w))^\alpha\, dw \] acting for \(f,g\in LU\) (locally univalent functions from \(
Kim, Yong Chan +2 more
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On quasiconformal extensions of harmonic mappings associated with pre-Schwarzian derivative
, 2021 In this paper, we extend Ahlfors's univalent criteria and Ahlfors's quasiconformal extension for analytic functions to harmonic mappings defined in the unit disk. Moreover, we give a general quasiconformal extension of harmonic Teichm ller mappings, whose maximal dilatation estimate is asymptotically sharp.
Wang, Xiao-Yuan +3 more
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On the projective geometry of the supercircle: a unified construction of the super cross-ratio and Schwarzian derivative [PDF]
, 2007 We consider the standard contact structure on the supercircle, S^{1|1}, and the supergroups E(1|1), Aff(1|1) and SpO(2|1) of contactomorphisms, defining the Euclidean, affine and projective geometry respectively.
Agrebaoui +32 more
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