Results 11 to 20 of about 5,737,630 (301)
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 ...
Mongodi S.
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$*$-exponential of slice-regular functions [PDF]
Proceedings of the American Mathematical Society, 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. Explicit formulas for $\exp_*(f)$ are provided, also in terms of suitable sine and cosine functions.
Altavilla A., de Fabritiis C.
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Spherical Coefficients of Slice Regular Functions [PDF]
Results in Mathematics, 2021 AbstractGiven a quaternionic slice regular function f, we give a direct and effective way to compute the coefficients of its spherical expansion at any point. Such coefficients are obtained in terms of spherical and slice derivatives of the function itself. Afterwards, we compare the coefficients of f with those of its slice derivative $$\partial _{c}f$
amedeo altavilla
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$*$-logarithm for slice regular functions
Rendiconti Lincei, Matematica e Applicazioni, 2023 In this paper, we study the (possible) solutions of the equation \exp_*(f)=g , where g is a slice regular never vanishing function on a circular domain of the ...
Amedeo Altavilla, Chiara de Fabritiis
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The Harmonicity of Slice Regular Functions [PDF]
The Journal of Geometric Analysis, 2020 AbstractIn this article, we investigate harmonicity, Laplacians, mean value theorems, and related topics in the context of quaternionic analysis. We observe that a Mean Value Formula for slice regular functions holds true and it is a consequence of the well-known Representation Formula for slice regular functions over $${\mathbb {H}}$$
Cinzia Bisi, Jörg Winkelmann
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Systematic review of the clinical effectiveness and cost-effectiveness of 64-slice or higher computed tomography angiography as an alternative to invasive coronary angiography in the investigation of coronary artery disease [PDF]
, 2008 Objectives: To assess the clinical effectiveness and cost-effectiveness, in different patient groups, of the use of 64-slice or higher computed tomography (CT) angiography, instead of invasive coronary angiography (CA), for diagnosing people with ...
Cummins, E. +21 more
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Errata to: The algebra of slice functions
Transactions of the American Mathematical Society, 2023 We correct the statement and proof of [Trans. Amer. Math. Soc. 369 (2021), pp. 5509–5544, Proposition 4.10] and straighten out [Trans. Amer. Math. Soc. 369 (2021), pp. 5509–5544, Example 4.13] accordingly. We take this chance to correct a sentence within [Trans. Amer. Math. Soc. 369 (2021), pp. 5509–5544, Examples 1.13].
Ghiloni, Riccardo +2 more
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Affiliation function of polar slice correction bias e.
, 2022 Affiliation function of polar slice correction bias e.
Yanjun Xiao (1993411) +4 more
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Graph Complexity and Slice Functions [PDF]
Theory of Computing Systems, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 Carathéodory 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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