The Bohr Theorem for slice regular functions

被引：13
|
作者：
Della Rocchetta, Chiara [1 ]
Gentili, Graziano [1 ]
Sarfatti, Giulia [1 ]
机构：
[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
来源：
MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 17-18期
关键词：
Functions of a quaternionic variable; Bohr Theorem; POWER-SERIES; HYPERHOLOMORPHIC FUNCTIONS; QUATERNIONIC FUNCTIONS;
D O I：
10.1002/mana.201100232
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 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-Caratheodory Theorem to the new setting. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：2093 / 2105
页数：13
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