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Difference analogue of the lemma on the logarithmic derivative with applications to difference equations

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posted on 16.08.2005, 11:03 by 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.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

182773 bytes

Publication date

2005

Notes

This is a pre-print.

Language

en

Exports

Loughborough Publications

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