Zeros of differential polynomials in real meromorphic functions

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dc.creatorBergweiler, W.
dc.creatorEremenko, A.
dc.creatorLangley, J.
dc.date2004-07-12
dc.date.accessioned2026-07-07T09:55:28Z
dc.date.available2026-07-07T09:55:28Z
dc.descriptionWe show that for a real transcendental meromorphic function f, the differential polynomial f'+f^m with m > 4 has infinitely many non-real zeros. Similar results are obtained for differential polynomials f'f^m-1. We specially investigate the case of meromorphic functions with finitely many poles. We show by examples the precision of our results. One of our main tools is the Fatou theorem from complex dynamics.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0407207
dc.identifierhttp://arxiv.org/abs/math/0407207
dc.identifierProc. Edinburgh Math. Soc. (2005) 48 1-15
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166639
dc.subjectComplex Variables
dc.subject30D30
dc.titleZeros of differential polynomials in real meromorphic functions
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