Regular functions on the space of Cayley numbers
type: Item
instance of: scholarly article
title: Regular functions on the space of Cayley numbers
zbMATH Open document ID: 1193.30070
DOI: 10.1216/RMJ-2010-40-1-225
author: Graziano Gentili
author: D. C. Struppa
published in: Rocky Mountain Journal of Mathematics
publication date: 2010-05-05T00:00:00Z
review text: The paper is devoted to the definition of a Gâteaux-like derivative for octonion valued functions. Following ideas of G. C. Cullen, octonion analysis including polynomials with octonion coefficients is carefully developed. A Cauchy integral formula and its consequences (Taylor-like expansions, modulus-maximum principle) are obtained. The paper contains some information on the zeros of power series of such type of octonion polynomials.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 5704112
zbMATH Keywords: Gâteaux-like derivation
zbMATH Keywords: octonion analysis
zbMATH Keywords: octonion polynomials
MaRDI profile type: Publication
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full work available at URL: rmj-2010-40-1-225
OpenAlex ID: W2017254051
description: scientific article; zbMATH DE number 5704112