Normal families and uniqueness of entire functions and their derivatives
文献类型：期刊论文
| 作者 | Chang, Jiang Ming; Fang, Ming Liang |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2007-06-01 |
| 卷号 | 23期号:6页码:973-982 |
| 关键词 | entire function normal family unicity theorem |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-005-0861-5 |
| 英文摘要 | Let f be a nonconstant entire function; let k >= 2 be a positive integer; and let a be a nonzero complex number. If f(z) = a double right arrow f'(z) = a, and f'(z) = a double right arrow f((k))p(z) = a, then either f = Ce-lambda z + a or f = Ce-lambda z + a(lambda - 1)/lambda, where C and lambda are nonzero constants with lambda(k-1) = 1. The proof is based on the Wiman-Valiron theory and the theory of normal families in an essential way. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000246582100003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4856]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chang, Jiang Ming |
| 作者单位 | 1.Changshu Inst Technol, Dept Math, Changshu 215500, Peoples R China 2.Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China 3.S China Agr Univ, Dept Appl Math, Guangzhou 510642, Guangdong, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100800, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chang, Jiang Ming,Fang, Ming Liang. Normal families and uniqueness of entire functions and their derivatives[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(6):973-982. |
| APA | Chang, Jiang Ming,&Fang, Ming Liang.(2007).Normal families and uniqueness of entire functions and their derivatives.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(6),973-982. |
| MLA | Chang, Jiang Ming,et al."Normal families and uniqueness of entire functions and their derivatives".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.6(2007):973-982. |
入库方式： OAI收割
来源：数学与系统科学研究院
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