Quantum de Rham complex on ${\mathbb{A}}_h^{1\mathrm{\mid }2}$

Introducing $h$- and $h^{\mathrm{\prime }}$-deformations of ${\mathbb{Z}}_2$-graded (1+2)- and (2+1)-spaces, denoted by ${\mathbb{A}}_h^{1\mathrm{\mid }2}$ and ${\mathbb{A}}_{h^{\mathrm{\prime }}}^{2\mathrm{\mid }1}$, a two-parameter first order differential calculus, de Rham complex, on ${\mathbb A}_{h}^{1|2}$ explicitly constructed.