A NOTE ON THE HYPERCOMPLEX RIEMANN-CAUCHY LIKE RELATIONS FOR QUATERNIONS AND LAPLACE EQUATIONS

J.A.P.F. Mar\~ao, M.F. Borges
2014 International Journal of Pure and Applied Mathematics  
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.
doi:10.12732/ijpam.v90i4.2 fatcat:o4xxlryu5vdtjbtgnz7bty5uam