Fixed Points of Meromorphic Functions and of Their Differences,Divided Differences and Shifts

Let f（z） be a finite order meromorphic function and let c∈C\{0} be a constant.If f（z）has a Borel exceptional value a∈C,it is proved that max{τ(f（z）),τ(△cf（z）)}=max{τ(f（z）),τ(f（z+c）)}=max{τ(△cf（z）),τ(f（z+c）)}=σ(f（z）).If f（z） has a Borel exceptional value b∈（C{0}）∪{∞},it is proved that max{τ(f（z）),τ(△cf（z）/f（z）)}=max{τ(△cf（z）/f（z）),τ(f（z+c）)}=σ(f（z）) unless f（z） takes a special form.Here τ(g（z）) denotes the exponent of convergence of fixed points of the meromorphic function g（z）,and σ(g（z）) denotes the order of growth of g（z）.