A new technique of integral representations in C-n, which is different from
the well-known Henkin technique, is given. By means of this new technique,
a new integral formula for smooth functions and a new integral representat
ion of solutions of the partial derivative -equations on strictly pseudocon
vex domains in C-n are obtained. These new formulas are simpler than the cl
assical ones, especially the solutions of the partial derivative -equations
admit simple uniform estimates. Moreover, this new technique can be furthe
r applied to arbitrary bounded domains in C-n So that all corresponding for
mulas are simplified.