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posted on 16.08.2005by R.G. Halburd, R.J. Korhonen
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.