Results 11 to 20 of about 255,069 (248)
Slice Fueter-Regular Functions [PDF]
The Journal of Geometric Analysis, 2021 33 ...
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$*$-logarithm for slice regular functions
Rendiconti Lincei, Matematica e Applicazioni, 2023 In this paper, we study the (possible) solutions of the equation \exp_*(f)=g , where g is a slice regular never vanishing function on a circular domain of the ...
Amedeo Altavilla, Chiara de Fabritiis
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Slice monogenic functions [PDF]
Israel Journal of Mathematics, 2009 In this paper we offer a definition of monogenicity for functions defined on $\rr^{n+1}$ with values in the Clifford algebra $\rr_n$ following an idea inspired by the recent papers \cite{gs}, \cite{advances}. This new class of monogenic functions contains the polynomials (and, more in general, power series) with coefficients in the Clifford algebra ...
COLOMBO, FABRIZIO +2 more
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Slice Starlike Functions Over Quaternions [PDF]
The Journal of Geometric Analysis, 2018 25 ...
Xu, Zhenghua, Ren, Guangbin
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Holomorphicity of Slice-Regular Functions [PDF]
Complex Analysis and Operator Theory, 2020 Slice-regular functions of a quaternionic variable have been studied extensively in the last 12 years, resulting, in many ways, quite close to classical holomorphic functions of a complex variable; indeed, there is a correspondence between slice-regular functions and a certain family of holomorphic maps from the complex plane to $\mathbb{C}^4$, as ...
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Carathéodory Theorems for Slice Regular Functions [PDF]
Complex Analysis and Operator Theory, 2014 In this paper a quaternionic sharp version of the Carath odory theorem is established for slice regular functions with positive real part, which strengthes a weaken version recently established by D. Alpay et. al. using the Herglotz integral formula.
Ren, Guangbin, Wang, Xieping
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The Harmonicity of Slice Regular Functions [PDF]
The Journal of Geometric Analysis, 2020 AbstractIn this article, we investigate harmonicity, Laplacians, mean value theorems, and related topics in the context of quaternionic analysis. We observe that a Mean Value Formula for slice regular functions holds true and it is a consequence of the well-known Representation Formula for slice regular functions over $${\mathbb {H}}$$
Cinzia Bisi, Jörg Winkelmann
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
V.P. Baksa, A. I. Bandura, T.M. Salo
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5G network slicing algorithm based on prediction
Dianxin kexue, 2021 5G on line scenario needs short build time of network slice, it can use prediction algorithm to isolate network resource in advance to reduce the construction time of network slice.A 5G network slicing algorithm based on prediction was proposed, which ...
Jiageng ZHANG +6 more
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Interpolated compressed sensing for 2D multiple slice fast MR imaging. [PDF]
PLoS ONE, 2013 Sparse MRI has been introduced to reduce the acquisition time and raw data size by undersampling the k-space data. However, the image quality, particularly the contrast to noise ratio (CNR), decreases with the undersampling rate.
Yong Pang, Xiaoliang Zhang
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