Higher order difference operators and uniqueness of meromorphic functions
文献类型：期刊论文
| 作者 | Fang, Mingliang1; Wang, Yuefei2,3 |
| 刊名 | ANALYSIS AND MATHEMATICAL PHYSICS
 |
| 出版日期 | 2021-06-01 |
| 卷号 | 11期号:2页码:13 |
| 关键词 | Meromorphic functions Value distribution Borel exceptional values Differences |
| ISSN号 | 1664-2368 |
| DOI | 10.1007/s13324-021-00529-w |
| 英文摘要 | It is a known uniqueness result that if f is a transcendental meromorphic function of finite order with two Borel excetional values a not equal infinity, b and its first order difference operator Delta(c)f not equivalent to 0, for some complex number c, and if f and Delta(c)f share a, b CM, then a = 0, b = infinity and f = exp(Az + B), where A not equal 0, B is an element of C. This type of results has its origin dating back to Csillag-Tumura's uniqueness theorems. In this paper, by using completely different methods, we shall show that the result holds for arbitrary higher order difference operators. Examples are provided to show that this result is not valid for meromorphic functions with infinite order, which also shows a distinction between the derivatives and the difference operators of meromorphic functions, in view of Csillag-Tumura type uniqueness theorems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000638127300001 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58414]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Fang, Mingliang |
| 作者单位 | 1.Hangzhou Dianzi Univ, Dept Math, Hangzhou 310018, Peoples R China 2.Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fang, Mingliang,Wang, Yuefei. Higher order difference operators and uniqueness of meromorphic functions[J]. ANALYSIS AND MATHEMATICAL PHYSICS,2021,11(2):13. |
| APA | Fang, Mingliang,&Wang, Yuefei.(2021).Higher order difference operators and uniqueness of meromorphic functions.ANALYSIS AND MATHEMATICAL PHYSICS,11(2),13. |
| MLA | Fang, Mingliang,et al."Higher order difference operators and uniqueness of meromorphic functions".ANALYSIS AND MATHEMATICAL PHYSICS 11.2(2021):13. |
入库方式： OAI收割
来源：数学与系统科学研究院
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