摘要
设f(z)是n值的超越代数体函数,其下级μ为有穷.本文证明了f(z)的亏整函数至多有可数个,且相应这些亏整函数和｛a_i(z)｝的亏量δ(a_i,f)满足:1)｛δ(a_i,f)｝
Let f(z) be an n-valued algebroidal function of finite lower order. In the present paper, we prove that the number of deficient entire functions of f(z) are at most countable and the total sum of deficiencies of f(z) with respect to these deficient functions is finite. Some upper bounds of the sums of deficiencies are given.
出处
《系统科学与数学》
CSCD
北大核心
1997年第4期338-344,共7页
Journal of Systems Science and Mathematical Sciences
基金
山东省自然科学基金
山东大学跨世纪人才基金
关键词
超越代数体函数
亏整函数
亏量
代数体函数
Transcendental algebroidal function, deficient entire function, deficiency
