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Mathematische Nachrichten
Article . 2012 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
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The Bohr Theorem for slice regular functions

The Bohr theorem for slice regular functions
Authors: Della Rocchetta, Chiara; GENTILI, GRAZIANO; SARFATTI, GIULIA;

The Bohr Theorem for slice regular functions

Abstract

AbstractIn this paper we prove the Bohr Theorem for slice regular functions. Following the historical path that led to the proof of the classical Bohr Theorem, we also extend the Borel‐Carathéodory Theorem to the new setting.

Country
Italy
Keywords

Hypercomplex analysis, Mathematics - Complex Variables, Geometric function theory, functions of a quaternionic variable, Power series (including lacunary series) in one complex variable, hypercomplex anasis; bohr theorem, Functions of hypercomplex variables and generalized variables, Bohr theorem, FOS: Mathematics, 30G35, 30B10, 30C99, Complex Variables (math.CV)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Top 10%
Green
bronze
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