On Sharing Values of Meromorphic Functions and Their Differences

For a meromorphic function f in the complex plane, we prove that if f is a finite order transcendental entire function which has a finite Borel exceptional value a, if ${f(z+eta)notequiv f(z)}$ for some ${etain mathbb{C}}$ , and if f(z + η) ? f(z) and f(z) share the value a CM, then $$ a=0 quad {rm and} quad frac{f(z+eta)-f(z)}{f(z)}=A, $$ where A is a nonzero constant. We also consider problems on sharing values of meromorphic functions and their differences when their orders are not an integer or infinite.