摘要
设fk(z) =k- (k- 1 )logk+kz-ez,gk(z) =k1-kzkek-z,hk(z) =k+kz-kez 和tk(z) =zkek(1-z) ,其中k≥ 2为自然数 .论文推广了Bergweiler和Kisaka的一个结论 ,证明了两个结果 :( 1 )上述四类函数中的任何一个函数的Fatou分支的边界都是Jordan曲线 ;( 2 )
It is proved that the boundaries of Fatou components of four certain kinds of entire functions are Jordan curves,and that the Lebesque measures of the Julia sets of these functions are equal to zero, which generalizes some results obtained by Bergweiler and Kisaka.
