纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2014年
1期
21-26
,共6页
亚纯函数%正规族%增长级%超级
亞純函數%正規族%增長級%超級
아순함수%정규족%증장급%초급
meromorphic function%normal family%growth order%hyper order
运用正规族理论研究了整函数与其高阶导数分担无穷级函数增长级与超级的相关结果。从亚纯函数超级大于零而使球面导数无界的角度出发,然后综合运用 Pang-Zaclman 引理,数学归纳法和 Nevanlinna 理论等方法证明了该结果,推广和改进了已有的结果。
運用正規族理論研究瞭整函數與其高階導數分擔無窮級函數增長級與超級的相關結果。從亞純函數超級大于零而使毬麵導數無界的角度齣髮,然後綜閤運用 Pang-Zaclman 引理,數學歸納法和 Nevanlinna 理論等方法證明瞭該結果,推廣和改進瞭已有的結果。
운용정규족이론연구료정함수여기고계도수분담무궁급함수증장급여초급적상관결과。종아순함수초급대우령이사구면도수무계적각도출발,연후종합운용 Pang-Zaclman 인리,수학귀납법화 Nevanlinna 이론등방법증명료해결과,추엄화개진료이유적결과。
In this paper, by means of the normal family theory, we study the growth order and hyper order of some entire functions that share infinite order functions with their derivative of higher order. We start from the hyper order whose greater than zero, it leads to spherical derivative unbounded, using the Pang-Zaclman Lemma, mathematical induction and Nevanlinna theory, we prove our result. This result improves and generalizes the obtained results.