摘要
将亚纯函数值分布理论中的相对于复数的两种亏量,即相对亏量与绝对亏量,推广到相对于涉及慢增长函数的亏量,得到相对亏函数亏量及绝对亏函数亏量,并研究了两者之间的关系,得出两个结论,以及在亏量的值一定的条件下。
In the theory of meromorphic functions and their value distribution, there are two kinds of defects relative to complex numbers, the relative defect and the absolute defect. In the paper, the defective values are replaced by some slowly increasing functions the defective funtions, the note of the relative defect of function and the absolute defect of function are introduced. Two results on the relation between the defects of function are obtained, the other result obtained is: if some conditions on defects are satisfied, then the k order derivative of a meromorphic function dosnt have nonzero absolute defect of function and relative defect of function.
出处
《大连水产学院学报》
CSCD
1996年第4期55-58,共4页
Journal of Dalian Fisheries University
关键词
亚纯函数
亏函数
亏量
相对亏函数亏量
meromorphic function
defective function
defect
relative defect of function
absolute defect of function.