Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.math/0504245,
title = {Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations},
author = {R. G. Halburd and R. J. Korhonen},
journal= {arXiv preprint arXiv:math/0504245},
year = {2007}
}
Comments
12 pages. To appear in the Journal of Mathematical Analysis and Applications