关于亚纯函数的唯一分解

亚纯函数与整函数的分解理论是单复变函数中一个令人感兴趣的课题。本文的结论一方面推广了文「１」的结果，证明了对唯一分解的有理函数Ｑ（ｚ），任一超越亚纯函数ｆ（ｚ），ｆ（ｚ）－αＱ（ｚ）和ｆ（ｚ）（Ｑ（ｚ）－α）几乎对所在的复数α都是唯一分解的。

On Unique Factorizability of Meromorphic Functions

The factorization theory of meromorphic and entire functions is one of interesting problems in complex analytic function theory. The results in this paper not only extend a result of Noela with the following results: if Q(j) is a uniquely factiorizable rational function and f(z) meromerphic then f(z)-aQ(z) and f(z)(Q(z)-a) are uniquely factorizable for almost complex numbers a . But it also show that the primitive function of e cos j prime.