2134/395
R.G. Halburd
R.G.
Halburd
R.J. Korhonen
R.J.
Korhonen
Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
Loughborough University
2005
logarithmic difference
Nevanlinna theory
difference equation
Mathematical Sciences not elsewhere classified
2005-08-16 11:03:46
Preprint
https://repository.lboro.ac.uk/articles/preprint/Difference_analogue_of_the_lemma_on_the_logarithmic_derivative_with_applications_to_difference_equations/9383339
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.