IJPAM: Volume 89, No. 2 (2013)

GEOMETRICAL COUPLING FIELDS OF
A HYPERCOMPLEX TYPE

J.A.P.F. Marão$^1$, M.F. Borges$^2$
$^1$Department of Mathematics
Federal University of Maranhão - São Luís-MA
65085-580, Maranhão, BRAZIL
$^2$UNESP - São Paulo State University
S.J. Rio Preto Campus
15054-000, São José do Rio Preto, BRAZIL


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.

Received: August 26, 2013

AMS Subject Classification: 30G99, 30E99

Key Words and Phrases: quaternions, Laplace's equations, geoemtrical coupling fields

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DOI: 10.12732/ijpam.v89i2.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 2