关于整函数超级的进一步结果  

Further results about hyper order of entire functions

作　　者：丁杰[1] 戚建明[2] 朱泰英[2] 

机构地区：[1]太原理工大学数学学院,山西太原030024 [2]上海电机学院数理教学部,上海201306

出　　处：《纯粹数学与应用数学》2014年第1期21-26,共6页Pure and Applied Mathematics

基　　金：山西省回国留学人员科研资助项目(2013-045);国家自然科学基金天元青年基金(11326083);上海市教育委员会科研创新项目(14YZ164);上海市教育委员会青年教师培养资助计划(ZZSDJ12020);上海电机学院重点培育学科(13XKJC01)

摘　　要：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.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.

关 键 词：亚纯函数 正规族 增长级 超级 

分 类 号：O174.5[理学—数学]