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=fz+1-fz 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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/103249 |
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| _version_ | 1832549264805330944 |
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| author | Zhaojun Wu Hongyan Xu |
| author_facet | Zhaojun Wu Hongyan Xu |
| author_sort | Zhaojun Wu |
| collection | DOAJ |
| description | Let f be a transcendental meromorphic function of order less than one. The authors prove that the exact difference Δf=fz+1-fz 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. |
| format | Article |
| id | doaj-art-ca068eb1b2964d2fa0c3db15a3c53ec8 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ca068eb1b2964d2fa0c3db15a3c53ec82025-02-03T06:11:42ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/103249103249Fixed Points of Difference Operator of Meromorphic FunctionsZhaojun Wu0Hongyan Xu1School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, ChinaDepartment of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, ChinaLet f be a transcendental meromorphic function of order less than one. The authors prove that the exact difference Δf=fz+1-fz 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.http://dx.doi.org/10.1155/2014/103249 |
| spellingShingle | Zhaojun Wu Hongyan Xu Fixed Points of Difference Operator of Meromorphic Functions The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/103249 |
| work_keys_str_mv | AT zhaojunwu fixedpointsofdifferenceoperatorofmeromorphicfunctions AT hongyanxu fixedpointsofdifferenceoperatorofmeromorphicfunctions |