Value distribution of meromorphic solutions \\of somedifference Painlev$\acute{e}$ $I$ equations

The zeros, poles, fixed-points, Borel exceptional value of finite order transcendental meromorphic solutions of difference Painlev$\acute{e}$ $I$ equations $$\overline{f}+f+\underline{f}=\frac{\pi_1 z +\pi_2}{f}+\kappa_1,\eqno{(*)}$$ are studied,and the existence,the form of rational solution of the above equation are also considered,where $\overline{f}=f(z+1), f=f(z), \underline{f}=f(z-1), \pi_1 , \pi_2 , \kappa_1 \in\mathbb{C}$.