整函数与亚纯函数的例外集

The Exceptional Sets of Entire and Meromorphic Functions

除将Borel可去集引入到整函数及其导数分别取两个小整函数并涉及重值的辐角分布的研究外,还将其引入到以∞为Nevanlinna亏值的亚纯函数及其各阶导数取两个小亚纯函数的辐角分布的研究中,并证明了相应的奇异方向的存在性。

In this paper,we introduce the concept of Borel removable sets into the research of angular distributions in the cases that entire functions and their derivatives assume two small entire functions with the multiple value taken into account, and that meromorphic functions with infinity being a Nevanlinna deficient value and the derivatives of all orders assume two small meromorphic functions,and we prove the existence of the corresponding singular directions.