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

Abstract

In this note it is worked out a new set of Laplace-Like equations for quaternions through Riemann-Cauchy hypercomplex relations otained earlier BorgesZeMarcio. 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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