Results 11 to 20 of about 12,819,077 (325)
$*$-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.
Altavilla, Amedeo, de Fabritiis, Chiara
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The Harmonicity of Slice Regular Functions [PDF]
The Journal of Geometric Analysis, 2019 In 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 ...
C. Bisi, J. Winkelmann
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Eigenvalue problems for slice functions [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2021 This paper addresses particular eigenvalue problems within the context of two quaternionic function theories. More precisely, we study two concrete classes of quaternionic eigenvalue problems, the first one for the slice derivative operator in the class ...
R. S. Kraußhar, A. Perotti
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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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Note on boundedness of the $L$-index in the direction of the composition of slice entire functions
Математичні Студії, 2022 We study a composition of two functions belonging to a class of slice holomorphic functions in the whole $n$-dimensional complex space. The slice holomorphy in the space means that for some fixed direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\
V. P. Baksa +3 more
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Axioms, 2023 We obtain the separability of mixed-norm Herz-slice spaces, establish a weak convergence on mixed-norm Herz-slice spaces, and get the boundedness of the Calderón–Zygmund operator T on mixed-norm Herz-slice spaces.
Lihua Zhang, Jiang Zhou
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Geometric function theory over quaternionic slice domains [PDF]
, 2020 The theory of quaternionic slice regular functions was introduced in 2006 and successfully developed for about a decade over symmetric slice domains, which appeared to be the natural setting for their study.
G. Gentili, C. Stoppato
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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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Slice Fueter-Regular Functions [PDF]
The Journal of Geometric Analysis, 2021 33 ...
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Application of slice regularity to functions of a dual-quaternionic variable
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we present the algebraic properties of dual quaternions and define a slice regularity of a dual quaternionic function. Since the product of dual quaternions is non-commutative, slice regularity is derived in two ways.
Ji Eun Kim
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