exceptional set meaning in English

例外集

The study of exceptional set has a history of half a century . in reference ( 2 ) , lento extended the famous picard theorem and presented the concept of exceptional set of entire functions and meromorphic functions . and the exceptional set in his result was an infinite sequence of complex numbers
例外集问题的研究，已有半个世纪的历史，在文献2中， lehto推广了著名的picard定理，并首次提出例外集的概念，在他的结论中，例外集为一无穷复数序列。
In reference [ 4 ] , anderson extened the result of hayman from the viewpoint of exceptional set , and put forward a question whether the exceptional set can be expanded into innumerable discs . langley and zhan xiao ping have made great efforts to solve the problems of exceptional set of functions such as fk , fkq [ f ] and fkq [ f ] + p [ f ] etc . , obtained comparatively complete result , and given positive answers to anderson s questions . but these result arc only concerned with entire functions due to the difficulty caused by poles
Langley 、詹小平等做了大量工作，解决了形如f ~ k ， f ~ kq [ f ] ，及f ~ kq [ f ] + p [ f ]等函数的例外集问题，得到了比较满意的结果，肯定地回答了anderson等人提出的问题，但这些工作基本上局限于整函数，主要原因是极点带来了很大的困难，对于亚纯函数的例外集的研究，詹小平取得了新的进展(见文14 ) 。