A discrete version of complex Vekua type equations is considered. We construct a repre\-sentation formula for the solution of the homogeneous complex equation and investigate the inhomogeneous equation. Similar to the continuous case this representation formula is a product of two functions. We also factorize the solution of a homogeneous Vekua type equation in the quaternionic case. In the complex plane we analyse both factors in detail and study the relation between the non-holomorphic factors in the discrete and continuous case.
"Discrete Vekua equations with constant coefficients in the complex and quaternionic case." Bull. Belg. Math. Soc. Simon Stevin 11 (5) 689 - 703, March 2005. https://doi.org/10.36045/bbms/1110205627