Periodic Points and Normality Concerning Meromorphic Functions with Multiplicity
文献类型：期刊论文
| 作者 | Deng, Bingmao3; Fang, Mingliang2; Wang, Yuefei1,4
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| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2020-09-01 |
| 卷号 | 40期号:5页码:1429-1444 |
| 关键词 | normality iteration periodic points |
| ISSN号 | 0252-9602 |
| DOI | 10.1007/s10473-020-0515-9 |
| 英文摘要 | In this article, two results concerning the periodic points and normality of meromorphic functions are obtained: (i) the exact lower bound for the numbers of periodic points of rational functions with multiple fixed points and zeros is proven by lettingR(z) be a non-polynomial rational function, and if all zeros and poles ofR(z) -zare multiple, thenR(k)(z) has at leastk+ 1 fixed points in the complex plane for each integerk >= 2; (ii) a complete solution to the problem of normality of meromorphic functions with periodic points is given by letting F be a family of meromorphic functions in a domainD, and lettingk >= 2 be a positive integer. If, for eachf is an element of F, all zeros and poles off(z) -zare multiple, and its iterationf(k)has at mostkdistinct fixed points inD, then F is normal inD. Examples show that all of the conditions are the best possible. |
| 资助项目 | NNSF of China[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000565212900015 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52090]  |
| 专题 | 数学所 |
| 通讯作者 | Fang, Mingliang |
| 作者单位 | 1.Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China 2.Hangzhou Dianzi Univ, Dept Math, Hangzhou 310012, Peoples R China 3.Guangdong Univ Finance, Sch Financial Math & Stat, Guangzhou 510521, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Deng, Bingmao,Fang, Mingliang,Wang, Yuefei. Periodic Points and Normality Concerning Meromorphic Functions with Multiplicity[J]. ACTA MATHEMATICA SCIENTIA,2020,40(5):1429-1444. |
| APA | Deng, Bingmao,Fang, Mingliang,&Wang, Yuefei.(2020).Periodic Points and Normality Concerning Meromorphic Functions with Multiplicity.ACTA MATHEMATICA SCIENTIA,40(5),1429-1444. |
| MLA | Deng, Bingmao,et al."Periodic Points and Normality Concerning Meromorphic Functions with Multiplicity".ACTA MATHEMATICA SCIENTIA 40.5(2020):1429-1444. |
入库方式： OAI收割
来源：数学与系统科学研究院
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