Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function
For a transcendental meromorphic function f ( z ) , the main aim of this paper is to investigate the properties on the zeros and deficiencies of some differential-difference polynomials. Some results about the deficiencies of some differential-difference polynomials concerning Nevanlinna defi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-10-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/6/10/207 |
| _version_ | 1828404138398973952 |
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| author | Hong-Yan Xu Xiu-Min Zheng Hua Wang |
| author_facet | Hong-Yan Xu Xiu-Min Zheng Hua Wang |
| author_sort | Hong-Yan Xu |
| collection | DOAJ |
| description | For a transcendental meromorphic function f ( z ) , the main aim of this paper is to investigate the properties on the zeros and deficiencies of some differential-difference polynomials. Some results about the deficiencies of some differential-difference polynomials concerning Nevanlinna deficiency and Valiron deficiency are obtained, which are a generalization of and improvement on previous theorems given by Liu, Lan and Zheng, etc. |
| first_indexed | 2024-12-10T10:31:20Z |
| format | Article |
| id | doaj.art-9e1318df1f594eaf89e4eba7fa3be8c8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-10T10:31:20Z |
| publishDate | 2018-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9e1318df1f594eaf89e4eba7fa3be8c82022-12-22T01:52:34ZengMDPI AGMathematics2227-73902018-10-0161020710.3390/math6100207math6100207Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic FunctionHong-Yan Xu0Xiu-Min Zheng1Hua Wang2Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, ChinaInstitute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, Jiangxi, ChinaDepartment of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, ChinaFor a transcendental meromorphic function f ( z ) , the main aim of this paper is to investigate the properties on the zeros and deficiencies of some differential-difference polynomials. Some results about the deficiencies of some differential-difference polynomials concerning Nevanlinna deficiency and Valiron deficiency are obtained, which are a generalization of and improvement on previous theorems given by Liu, Lan and Zheng, etc.http://www.mdpi.com/2227-7390/6/10/207differential-difference polynomialnevanlinna deficiencyvaliron deficiency |
| spellingShingle | Hong-Yan Xu Xiu-Min Zheng Hua Wang Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function Mathematics differential-difference polynomial nevanlinna deficiency valiron deficiency |
| title | Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function |
| title_full | Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function |
| title_fullStr | Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function |
| title_full_unstemmed | Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function |
| title_short | Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function |
| title_sort | some results on the deficiencies of some differential difference polynomials of meromorphic function |
| topic | differential-difference polynomial nevanlinna deficiency valiron deficiency |
| url | http://www.mdpi.com/2227-7390/6/10/207 |
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