descriptionPublicationkeyboard_double_arrow_right Article 18 Apr 2006 English Publisher:Cellule MathDoc/Centre MersenneJournal:Comptes Rendus. Mathématique, volume 342, pages 741-744 (issn: 1631-073X, eissn: 1778-3569,

Authors: GENTILI, GRAZIANO; D. STRUPPA;

doi: 10.1016/j.crma.2006.03.015

handle: 2158/211053

A new approach to Cullen-regular functions of a quaternionic variable

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Abstract

In this Note we announce the basic elements and results of a new theory of regular functions of one quaternionic variable. The theory we describe follows an idea of Cullen, but we use a more geometric approach to show that it is possible to build a rather complete theory.

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Keywords

Cullen-regular functions, Functions of hypercomplex variables and generalized variables, Cullen derivative, Functions of hypercomplex variables; Functions of complex variables; Quaternions.

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