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

页码：2093 / 2105

页数：13

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