Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations

Details Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations

2005-04-12

arxiv.org/abs/math/0504245v1

Mathematics

Complex Variables

12 pages. To appear in the Journal of Mathematical Analysis and Applications

Scientific paper

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.

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