【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。更多还原

【Abstract】 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.更多还原