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

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

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Complex Variables, Classical Analysis and ODEs, Exactly Solvable and Integrable Systems, 30D35 (primary) 39A10, 39A12 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/74873

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504245
 http://arxiv.org/abs/math/0504245

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arXiv