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QuaternionAnalysis Package
Authors

Fernando Miranda
Organization: Universidade do Minho
Department: Departamento de Matemática e Aplicações
Maria Irene Falcão
Organization: Universidade do Minho
Department: Departamento de Matemática e Aplicações
Revision date

2014-11-13
Description

The QuaternionAnalysis package is a collection of functions that adds functionalities to the Quaternions package for implementing Hamilton’s quaternion algebra. It also provides tools for manipulating regular (or monogenic) quaternion valued functions, in the sense of Fueter. Some of the added new features include the possibility of performing operations on functions defined in R^(n+1), n>=2.

The package contains Help files for the new commands and a tutorial on quaternion analysis as well as several illustrative examples. It is closely based on the book Holomorphic functions in the plane and n-dimensional space, by K. Guerlebeck, K. Habetha and W. Sproessig.

The web site http://w3.math.uminho.pt/QuaternionAnalysis contains information about updates of the package.
Subject

*Mathematics > Calculus and Analysis > Complex Analysis
Keywords

Fueter, Hamilton, Quaternions, Paravectors, Monogenic functions
Downloads

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signature.asc (198 B) - ASCII file
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QuaternionAnalysis.zip (239.7 KB) - ZIP archive