关于(p,q)级整函数组的Borel定理  

ON THE BOREL'S THEOREM ABOUT ENTIRE FUNCTIONS WITH (p,q)-ORDER

作　　者：蔡惠京[1] 

机构地区：[1]长沙交通学院成人教育部

出　　处：《交通科学与工程》1990年第4期10-16,共7页Journal of Transport Science and Engineering

摘　　要：本文将关于整函数组的Borel定理推广到(p,q)级整函数的情形,同时引进(p,q)级整函数的Borel例外函数的概念,然后借助于推广的Borel定理,证明了每个(p,q)级整函数至多只有一个Borel例外函数。这一结论也是作者证明过的(p,q)级整函数的Borel例外值定理的推广。In this paper, the concept of Borel's exceptional function is introduced forentire functions with (p,q)-order, and the Borel's theorem about entirefuntions has been generalized for (p,q)-order. Then,it has heen proved thatevery entire function with (p,q)-order has at most one Borel's exceptionalfunction.

关 键 词：整函数 亚纯函数 波莱尔方向 (p q)-级 

分 类 号：O174.52[理学—数学]