A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations
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Data
2014
Autores
Marão, José Antonio Pires
Borges Neto, Manoel Ferreira [UNESP]
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Resumo
In this Note it is worked out a new set of Laplace-Like equations for quaternions through Riemann-Cauchy hypercomplex relations otained earlier [1]. 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 Fields Theory.
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quaternions, Laplace's equations, Riemann-Cauchy relations
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International Journal of Pure and Applied Mathematics, v. 90, n. 4, p. 407-411, 2014.