Fixed Points of Difference Operator of Meromorphic Functions

Let f be a transcendental meromorphic function of order less than one. The authors prove that the exact difference Δf =(z+1) - f (z) has infinitely many fixed points, if a ∈ ℂ and ∞ are Borel exceptional values (or Nevanlinna deficiency values) of f. These results extend the related results obtained...

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Detalles Bibliográficos
Autores principales: Wu, Zhaojun, Xu, Hongyan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3915858/
https://www.ncbi.nlm.nih.gov/pubmed/24563624
http://dx.doi.org/10.1155/2014/103249
Descripción
Sumario:Let f be a transcendental meromorphic function of order less than one. The authors prove that the exact difference Δf =(z+1) - f (z) has infinitely many fixed points, if a ∈ ℂ and ∞ are Borel exceptional values (or Nevanlinna deficiency values) of f. These results extend the related results obtained by Chen and Shon.

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