CAJ | 학술논문

研究了代数体函数的系数函数的Borel点与代数体函数的Borel点之间的关系。先证明了定义在单位圆内的代数体函数的几个定理，然后利用这些新定理证明了：eit是单位圆内整代数体函数W（ z）的p（＞1）级Borel点的充分必要条件是至少存在一个正整数j ｛0，1，2，…，k-1｝，使eit是系数函数Aj （ z）的p级Borel点。
연구료대수체함수적계수함수적Borel점여대수체함수적Borel점지간적관계。선증명료정의재단위원내적대수체함수적궤개정리，연후이용저사신정리증명료：eit시단위원내정대수체함수W（ z）적p（＞1）급Borel점적충분필요조건시지소존재일개정정수j ｛0，1，2，…，k-1｝，사eit시계수함수Aj （ z）적p급Borel점。
The relationship between the Borel point of algebroid functions and that of its coefficient functions is studied.Some results on the algebroid function defined in the unit disc are established .As an application, eit is a Borel point of entire algebroid function W(z) of order p(>1) if and only if eit is a Borel point of coefficient func-tion Aj(z) of order p for some positive integer j {0,1,2,…, k-1} is proved.