Results on Difference Analogues of Valiron-Mohon'ko Theorem
The classical Valiron-Mohon'ko theorem has many applications in the study of complex equations. In this paper, we investigate rational functions in f(z) and the shifts of f(z). We get some results on their characteristic functions. These results may be viewed as difference analogues of Valiron-...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/273040 |
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| _version_ | 1832545732946558976 |
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| author | Ran Ran Zhang Zhi Bo Huang |
| author_facet | Ran Ran Zhang Zhi Bo Huang |
| author_sort | Ran Ran Zhang |
| collection | DOAJ |
| description | The classical Valiron-Mohon'ko theorem has many applications in the study of complex equations. In this paper, we investigate rational functions in f(z) and the shifts of f(z). We get some results on their characteristic functions. These results may be viewed as difference analogues of Valiron-Mohon'ko theorem. |
| format | Article |
| id | doaj-art-b13f3686b83842acb88721099125f7ec |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b13f3686b83842acb88721099125f7ec2025-02-03T07:24:58ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/273040273040Results on Difference Analogues of Valiron-Mohon'ko TheoremRan Ran Zhang0Zhi Bo Huang1Department of Mathematics, Guangdong University of Education, Guangzhou 510303, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaThe classical Valiron-Mohon'ko theorem has many applications in the study of complex equations. In this paper, we investigate rational functions in f(z) and the shifts of f(z). We get some results on their characteristic functions. These results may be viewed as difference analogues of Valiron-Mohon'ko theorem.http://dx.doi.org/10.1155/2013/273040 |
| spellingShingle | Ran Ran Zhang Zhi Bo Huang Results on Difference Analogues of Valiron-Mohon'ko Theorem Abstract and Applied Analysis |
| title | Results on Difference Analogues of Valiron-Mohon'ko Theorem |
| title_full | Results on Difference Analogues of Valiron-Mohon'ko Theorem |
| title_fullStr | Results on Difference Analogues of Valiron-Mohon'ko Theorem |
| title_full_unstemmed | Results on Difference Analogues of Valiron-Mohon'ko Theorem |
| title_short | Results on Difference Analogues of Valiron-Mohon'ko Theorem |
| title_sort | results on difference analogues of valiron mohon ko theorem |
| url | http://dx.doi.org/10.1155/2013/273040 |
| work_keys_str_mv | AT ranranzhang resultsondifferenceanaloguesofvalironmohonkotheorem AT zhibohuang resultsondifferenceanaloguesofvalironmohonkotheorem |