The structure of the center regions of galaxies can be regarded as thin gaseous disks and dynamical evolution of the central region of galaxies usually employ the numerical simulations. The simulations should be a three dimensional problem, but it is simplified to a two dimensional problem due to the computational complexity. Self-gravitational force play a significant role in the gaseous flow on the disk.

The potential and self-gravitational force of three dimensional spaces is induced from surface density, which is represented by a singular Dirac measure. In this study, the potential and forces induced from surface density for three dimensional problem is investigated its energy estimation, which the surface density is treated as density of two dimension in numerical simulations.