关于代数体函数的亏量  

ON THE DEFICIENCIES OF ALGEBROIDAL FUNCTIONS

作　　者：杨连中[1] 

机构地区：[1]山东大学数学系,济南250100

出　　处：《系统科学与数学》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

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.

关 键 词：超越代数体函数 亏整函数 亏量 代数体函数 

分 类 号：O174.53[理学—数学]