Results 31 to 40 of about 21,179 (236)
Slice regular functions on real alternative algebras [PDF]
, 2011 In this paper we develop a theory of slice regular functions on a real alternative algebra $A$. Our approach is based on a well-known Fueter's construction.
Ghiloni, Riccardo +5 more
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A note on the Bieberbach conjecture for some classes of slice regular functions [PDF]
, 2021 In this note we prove the Bieberbach conjecture for some classes of quaternionic functions, including quaternionic slice regular functions with specific geometric properties such as starlike and convex functions.
Fabio Vlacci +3 more
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Slice-by-slice and global smoothness of slice regular and polyanalytic functions
Annali di Matematica Pura ed Applicata (1923 -), 2022 The concept of slice regular function over the real algebra $\mathbb{H}$ of quaternions is a generalization of the notion of holomorphic function of a complex variable. Let $Ω$ be an open subset of $\mathbb{H}$, which intersects $\mathbb{R}$ and is invariant under rotations of $\mathbb{H}$ around $\mathbb{R}$.
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Singularities of slice regular functions [PDF]
Mathematische Nachrichten, 2012 AbstractBeginning in 2006, G. Gentili and D. C. Struppa developed a theory of regular quaternionic functions with properties that recall classical results in complex analysis. For instance, in each Euclidean ball B(0, R) centered at 0 the set of regular functions coincides with that of quaternionic power series converging in B(0, R).
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On Fiber Bundles and Quaternionic Slice Regular Functions
Complex Analysis and Operator Theory, 2022 The papers \cite{O1,O2} are the first works to apply the theory of fiber bundles in the study of the quaternionic slice regular functions. The main goal of the present work is to extend the results given in \cite{O1}, where the quaternionic right linear space of quaternionic slice regular functions was presented as the base space of a fiber bundle ...
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A Bloch-Landau Theorem for Slice Regular Functions [PDF]
, 2013 The Bloch-Landau Theorem is one of the basic results in the geometric theory of holomorphic functions. It establishes that the image of the open unit disc $\mathbb{D}$ under a holomorphic function $f$ (such that $f(0)=0$ and $f'(0)=1$) always contains an open disc with radius larger than a universal constant.
Della Rocchetta, Chiara +2 more
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Julia theory for slice regular functions [PDF]
Transactions of the American Mathematical Society, 2016 Slice regular functions have been extensively studied over the past decade, but much less is known about their boundary behavior. In this paper, we initiate the study of Julia theory for slice regular functions. More specifically, we establish the quaternionic versions of the Julia lemma, the Julia-Carathéodory theorem, the ...
Ren, Guangbin, Wang, Xieping
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Slice regular functions (Gentili er al., 2022) : Quaternions
, 2023 This thesis constitutes a comprehensive study of the fundamental properties of an analytic function theory over quaternions, which is known as slice regularity, as introduced in Gentili et al. (Gentili et al., 2022). In 2006, an approach to analysis over
Fathian Pourkondori, Mitra
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On Some Quaternionic Generalized Slice Regular Functions
Advances in Applied Clifford Algebras, 2022 The quaternionic valued functions of a quaternionic variable, often referred to as slice regular functions has been studied extensively due to the large number of generali\-zed results of the theory of one complex variable, see \cite{cgs,CSS,GSC,GS2,gssbook,gp,gpr,GS} and the references given there.
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Molecular Oncology, EarlyView.Dimethyl fumarate (DMF) reduces growth of HPV‐positive cervical cancer spheroids and induces ferroptosis in cervical cancer cells via blocking SLC7A11/Glutathione (GSH) axis. Combination of subcytotoxic doses of DMF and cisplatin (CDDP) further suppresses spheroid growth and drives cell death in 2D culture models.
Carolina Punziano +6 more
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