关于Hayman猜想的正规定则的推广

The promotion of nomoility criterion on Hayman guess

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.