| 关于Hayman猜想的正规定则的推广 |
| |
| 引用本文： | 刘素红,田保,田宏根.关于Hayman猜想的正规定则的推广[J].安徽大学学报(自然科学版),2009,33(6). |
| |
| 作者姓名： | 刘素红 田保 田宏根 |
| |
| 作者单位： | 1. 宝鸡文理学院,数学系,陕西,宝鸡,721013
2. 新疆师范大学,数理信息学院,新疆,乌鲁木齐,830054 |
| |
| 摘 要： | 在一般条件f(k)(z)-afk+1(z)≠b下研究正规性,推广了以往在条件f(′z)-afn(z)≠b下研究正规性问题,从而改进了以往结论,即设F是区域D上的亚纯函数族,a≠0和b是两个有穷复数,k为一正整数,如果F内的每个函数f(z)都满足f(k)(z)-afk+1(z)≠b,并且f(z)的极点重数≥k+1,零点重数≥2,则F在D内是正规的.
|
| 关 键 词： | 亚纯函数 正规定则 极点 |
The promotion of nomoility criterion on Hayman guess |
| |
| LIU Su-hong,TIAN Bao,TIAN Hong-gen.The promotion of nomoility criterion on Hayman guess[J].Journal of Anhui University(Natural Sciences),2009,33(6). |
| |
| Authors: | LIU Su-hong TIAN Bao TIAN Hong-gen |
| |
| Institution: | LIU Su-hong1,TIAN Bao2,TIAN Hong-gen2(1.Department of Mathemtics,Baoji University of Arts , Sciences,Baoji 721013,China,2.School of Maths-physics , Information Sciences,Xinjiang Normal University,Urumqi 830054,China) |
| |
| Abstract: | Under the wide condition of f~(k)(z)-af~(k+1)(z)≠b, we studied nomoility and improved the previous nomoility criterion with the condition of f′(z)-af~n(z)≠b. Namely:set F was a meromorphic tribe on the regional D, a≠0 and b were two poor plural, k as a positive integer,each of f satisfied f~(k)(z)-af~(k+1)(z)≠b and all of whose poles were of multiplicity at least ≥k+1, whose zeros were of multiplicity at least≥2, then F was normal in the region D. |
| |
| Keywords: | meromorphic functions nomoility criterion pole |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
