Results 1 to 10 of about 154 (43)

Partial slice regularity and Fueter's theorem in several quaternionic variables

Complex Manifolds, 2023
We extend some definitions and give new results about the theory of slice analysis in several quaternionic variables. The sets of slice functions that are slice, slice regular, and circular with respect to given variables are characterized.
Binosi Giulio
doaj   +1 more source

Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in ℂn

Demonstratio Mathematica, 2023
Let Sγ,A,B∗(D){S}_{\gamma ,A,B}^{\ast }\left({\mathbb{D}}) be the usual class of gg-starlike functions of complex order γ\gamma in the unit disk D={ζ∈C:∣ζ∣
Sima Xiaoying, Tu Zhenhan, Xiong Liangpeng   +2 more
doaj   +1 more source

Compact weighted composition operators and fixed points in convex domains [PDF]

, 2006
We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
core   +5 more sources

The anomalous chiral perturbation theory meson Lagrangian to order $p^6$ revisited [PDF]

, 2001
We present a revised and extended construction of the mesonic Lagrangian density in chiral perturbation theory (ChPT) at order $p^6$ in the anomalous (or epsilon) sector, ${\cal{L}}_{6,\epsilon}$.
H. W. Fearing, H. W. Fearing, J. Bijnens, J. Gasser, J. Gasser, J. Goldstone, J. Goldstone, R. Akhoury, S. Scherer, S. Weinberg, T. Ebertshäuser, Y. Nambu   +11 more
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The Inverse Iteration Method for Julia Sets in the 3-Dimensional Space [PDF]

, 2015
In this article, we introduce the adapted inverse iteration method to generate bicomplex Julia sets associated to the polynomial map $w^2+c$. The result is based on a full characterization of bicomplex Julia sets as the boundary of a particular bicomplex
Matteau, C., Rochon, D.
core   +1 more source

$*$-exponential of slice-regular functions [PDF]

, 2018
According to [5] we define the $*$-exponential of a slice-regular function, which can be seen as a generalization of the complex exponential to quaternions.
Altavilla, Amedeo, de Fabritiis, Chiara
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Log-biharmonicity and a Jensen formula in the space of quaternions [PDF]

, 2018
Given a complex meromorphic function, it is well defined its Riesz measure in terms of the laplacian of the logarithm of its modulus. Moreover, related to this tool, it is possible to prove the celebrated Jensen formula. In the present paper, using among
Altavilla, Amedeo, Bisi, Cinzia
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Gravity of a static massless scalar field and a limiting Schwarzschild-like geometry

, 2005
We study a set of static solutions of the Einstein equations in presence of a massless scalar field and establish their connection to the Kantowski-Sachs cosmological solutions based on some kind of duality transformations. The physical properties of the
A. KAMENSHCHIK, Adler R., Bronnikov K. A., Buchdahl H. A., Chandrasekhar S., Fisher I. Z., Hawking S. W., M. GAUDIN, Schwarzschild K., U. MOSCHELLA, V. GORINI, V. PASQUIER, Weinberg S.   +12 more
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Distortion of boundary sets under inner functions. II [PDF]

, 1996
33 pages, no figures.-- MSC2000 codes: 32A30, 30C85, 30D50.MR#: MR1379286 (97b:30035)Zbl#: Zbl 0847.32005We present a study of the metric transformation properties of inner functions of several complex variables.
Fernández, José L., Pestana, Domingo, Rodríguez, José M.   +2 more
core   +2 more sources

Quasiconformal curves and quasiconformal maps in metric spaces

Analysis and Geometry in Metric Spaces
In this article, we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings Ω→Rm\Omega \to {{\mathbb{R}}}^{m} from some domain Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} to Rm{{\mathbb{R}}}^{m}, where n≤mn\le m, belong ...
Hitruhin Lauri, Tsantaris Athanasios
doaj   +1 more source