IJPAM: Volume 90, No. 4 (2014)
A NOTE ON THE HYPERCOMPLEX RIEMANN-CAUCHY
LIKE RELATIONS FOR QUATERNIONS
AND LAPLACE EQUATIONS
LIKE RELATIONS FOR QUATERNIONS
AND LAPLACE EQUATIONS
J.A.P.F. Marão1, M.F. Borges2
1Department of Mathematics
Federal University of Maranhão - São Luís-MA
65085-580, Maranhão, BRAZIL
2UNESP - São Paulo State University
S.J. Rio Preto Campus
15054-000, São José do Rio Preto, BRAZIL
1Department of Mathematics
Federal University of Maranhão - São Luís-MA
65085-580, Maranhão, BRAZIL
2UNESP - São Paulo State University
S.J. Rio Preto Campus
15054-000, São José do Rio Preto, BRAZIL
Abstract. 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.
Received: May 20, 2013
AMS Subject Classification: 30G99, 30E99
Key Words and Phrases: quaternions, Laplace's equations, Riemann-Cauchy relations
Download paper from here.
DOI: 10.12732/ijpam.v90i4.2 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: 2014
Volume: 90
Issue: 4
