关于Hayman猜想的正规定则的推广  

The promotion of nomoility criterion on Hayman guess

作　　者：刘素红[1] 田保[2] 田宏根[2] 

机构地区：[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

出　　处：《安徽大学学报（自然科学版）》2009年第6期10-12,共3页Journal of Anhui University(Natural Science Edition)

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.Under the wide condition of f^（k）（z）-a^fk＋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.

关 键 词：亚纯函数 正规定则 极点 

分 类 号：O174.52[理学—数学]