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Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations | | R. G. Halburd
; R. J. Korhonen
; | | Date: |
12 Apr 2005 | | Subject: | Complex Variables; Classical Analysis and ODEs; Exactly Solvable and Integrable Systems MSC-class: 30D35 (primary) 39A10, 39A12 (secondary) | math.CV math.CA nlin.SI | | 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. | | Source: | arXiv, math.CV/0504245 | | Services: | Forum | Review | PDF | Favorites | |
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