关于超级有穷条件下的Drasin问题

On Drasin's questions of meromorphic functions of finite hyper-order

1992年,杨乐和王跃飞在有穷级条件下给出了亚纯函数具有满亏量和的充分必要条件,并解决了1976年Drasin提出的三个著名问题.本文在超级有穷条件下证明了杨乐和王跃飞的相应结果也成立,从而在超级有穷条件下解决了Drasin提出的三个著名问题,改进了杨乐和王跃飞的相应结果,并举例说明本文结果在某种意义上是最佳的.

In 1992,Yang and Wang gave sufficient and necessary conditions concerning maximal deficiency sums of meromorphic functions of finite order,and resolved three questions given by Drasin（1976）.In this paper,we prove that the corresponding results in Yang and Wang（1992） are still valid for meromorphic functions of finite hyper-order,and so we resolve the three questions given by Drasin（1976） for meromorphic functions of finite hyper-order,and so the results in this paper improve the corresponding results in Yang and Wang（1992）.Some examples are provided to show that the results in this paper are,in a sense,the best possible.