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
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author Wu, Zhaojun
Xu, Hongyan
author_facet Wu, Zhaojun
Xu, Hongyan
author_sort Wu, Zhaojun
collection PubMed
description 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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spelling pubmed-39158582014-02-23 Fixed Points of Difference Operator of Meromorphic Functions Wu, Zhaojun Xu, Hongyan ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014-01-19 /pmc/articles/PMC3915858/ /pubmed/24563624 http://dx.doi.org/10.1155/2014/103249 Text en Copyright © 2014 Z. Wu and H. Xu. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wu, Zhaojun
Xu, Hongyan
Fixed Points of Difference Operator of Meromorphic Functions
title Fixed Points of Difference Operator of Meromorphic Functions
title_full Fixed Points of Difference Operator of Meromorphic Functions
title_fullStr Fixed Points of Difference Operator of Meromorphic Functions
title_full_unstemmed Fixed Points of Difference Operator of Meromorphic Functions
title_short Fixed Points of Difference Operator of Meromorphic Functions
title_sort fixed points of difference operator of meromorphic functions
topic Research Article
url 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
work_keys_str_mv AT wuzhaojun fixedpointsofdifferenceoperatorofmeromorphicfunctions
AT xuhongyan fixedpointsofdifferenceoperatorofmeromorphicfunctions

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