logarithmic difference Nevanlinna theory difference equation
The Lemma on the Logarithmic Derivative of a meromorphic function has many
applications in the study of meromorphic functions and ordinary differential equations.
In this paper, a difference analogue of the Logarithmic Derivative Lemma is
presented, and then applied to prove a number of results on meromorphic solutions
of complex difference equations. These results include a difference analogue of the
Clunie Lemma, as well as other results on the value distribution of solutions.