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Geometrical coupling fields of a hypercomplex type

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Abstract

This paper presents an application of Laplace's equation obtained from a quaternionic function that satisfies the Cauchy-Riemann conditions determined earlier by Borges and Machado [#!BorgesZeMarcio!#]. Therefore, we show that it is possible to express in a single equation gravity, electric and magnetic potential fields, and this expression can only be provided due to a function that will be called here the coupling function.

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quaternions, Laplace's equations, geoemtrical coupling fields

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English

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International Journal of Pure and Applied Mathematics, v. 89, n. 2, p. 215-224, 2013.

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