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

R. G. Halburd·R. J. Korhonen
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Abstract

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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R. G. Halburd, R. J. Korhonen. 2005-04-12. Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations. https://arxiv.org/abs/math/0504245

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