On the Deficiencies of Some Differential-Difference Polynomials
The characteristic functions of differential-difference polynomials are investigated, and the result can be viewed as a differential-difference analogue of the classic Valiron-Mokhon’ko Theorem in some sense and applied to investigate the deficiencies of some homogeneous or nonhomogeneous differenti...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/378151 |
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| _version_ | 1832566886618890240 |
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| author | Xiu-Min Zheng Hong Yan Xu |
| author_facet | Xiu-Min Zheng Hong Yan Xu |
| author_sort | Xiu-Min Zheng |
| collection | DOAJ |
| description | The characteristic functions of differential-difference polynomials are investigated, and the result can be viewed as a differential-difference analogue of the classic Valiron-Mokhon’ko Theorem in some sense and applied to investigate the deficiencies of some homogeneous or nonhomogeneous differential-difference polynomials. Some special differential-difference polynomials are also investigated and these results on the value distribution can be viewed as differential-difference analogues of some classic results of Hayman and Yang. Examples are given to illustrate our results at the end of this paper. |
| format | Article |
| id | doaj-art-38db68b3d33b4d09bbd86b913daff784 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-38db68b3d33b4d09bbd86b913daff7842025-02-03T01:02:51ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/378151378151On the Deficiencies of Some Differential-Difference PolynomialsXiu-Min Zheng0Hong Yan Xu1Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, ChinaDepartment of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, ChinaThe characteristic functions of differential-difference polynomials are investigated, and the result can be viewed as a differential-difference analogue of the classic Valiron-Mokhon’ko Theorem in some sense and applied to investigate the deficiencies of some homogeneous or nonhomogeneous differential-difference polynomials. Some special differential-difference polynomials are also investigated and these results on the value distribution can be viewed as differential-difference analogues of some classic results of Hayman and Yang. Examples are given to illustrate our results at the end of this paper.http://dx.doi.org/10.1155/2014/378151 |
| spellingShingle | Xiu-Min Zheng Hong Yan Xu On the Deficiencies of Some Differential-Difference Polynomials Abstract and Applied Analysis |
| title | On the Deficiencies of Some Differential-Difference Polynomials |
| title_full | On the Deficiencies of Some Differential-Difference Polynomials |
| title_fullStr | On the Deficiencies of Some Differential-Difference Polynomials |
| title_full_unstemmed | On the Deficiencies of Some Differential-Difference Polynomials |
| title_short | On the Deficiencies of Some Differential-Difference Polynomials |
| title_sort | on the deficiencies of some differential difference polynomials |
| url | http://dx.doi.org/10.1155/2014/378151 |
| work_keys_str_mv | AT xiuminzheng onthedeficienciesofsomedifferentialdifferencepolynomials AT hongyanxu onthedeficienciesofsomedifferentialdifferencepolynomials |