A Note on the Hypercomplex Riemann-Cauchy Like Relations for Quaternions and Laplace Equations

2013/04/12 by J A. P. F. Marão, Marão, J A. P. F., M. F. Borges +1
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.1304.3731

arxiv created 2013/04/12 · arxiv updated 2013/04/16

Abstract

In this note it is worked out a new set of Laplace-Like equations for quaternions through Riemann-Cauchy hypercomplex relations otained earlier \citeBorgesZeMarcio. As in the theory of functions of a complex variable, it is expected that this new set of Laplace-Like equations might be applied to a large number of Physical problems, providing new insights in the Classical Theory Fields.

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