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

Simple item page
dc.creatorHalburd, R. G.
dc.creatorKorhonen, R. J.
dc.date2005-04-12
dc.date.accessioned2026-07-07T05:19:02Z
dc.date.available2026-07-07T05:19:02Z
dc.descriptionThe 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.
dc.description12 pages. To appear in the Journal of Mathematical Analysis and Applications
dc.identifierhttps://arxiv.org/abs/math/0504245
dc.identifierhttp://arxiv.org/abs/math/0504245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74873
dc.subjectComplex Variables
dc.subjectClassical Analysis and ODEs
dc.subjectExactly Solvable and Integrable Systems
dc.subject30D35 (primary) 39A10, 39A12 (secondary)
dc.titleDifference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations
dc.typetext

Files

Collections

arXiv