%0 Journal Article %T Differentiability of pseudo-dual-quaternionic functions with a differential operator %A Kim, Ji Eun %J Journal of Nonlinear Sciences and Applications %D 2018 %V 11 %N 11 %@ ISSN 2008-1901 %F Kim2018 %X This paper introduces the new concept of pseudo-dual-quaternions and some of their basic properties based on matrices. We extend the concept of differentiability to pseudo-dual-quaternionic functions. Also, we propose a corresponding Cauchy-Riemann formulas induced the properties of a holomorphic function of pseudo-dual-quaternionic variables. %9 journal article %R 10.22436/jnsa.011.11.03 %U http://dx.doi.org/10.22436/jnsa.011.11.03 %P 1235--1242