http://www.saber.ula.ve/handle/123456789/33885 2011 2026-04-30T17:32:52Z http://www.saber.ula.ve/handle/123456789/33886 Comments on differentiable over function of split quaternions Masrouri, Naser; Yayli, Yusuf; Faroughi, M. H.; Mirshafizadeh, M. The theory of mathematical analysis over split quaternions is formulated in a closest possible analogy to the usual theory of analytic functions of a complex variable. After reviewing split quaternion algebra via an isomorphic 4 £ 4 matrix representation, a different definition is given to partial derivatives involving split quaternions. This takes care of the ambiguity involved in the no commutative properties of split quaternions. A closely analogous condition for analyticity of functions of a split quaternion variable is found. The analogy with complex variables is illustrated for both the derivative. 2011-10-17T20:44:47Z