代数体函数的渐近性质

ON THE ASYMPTOTIC BEHAVAIOUR OF ALGEBROID FUNCTION

将常数推广为函数,是值分布论研究的一个重要课题.本文用不同的方法,将Valiron,Wahlund,Williamson和Ozawa等人关于整函数增长与级和下级关系,以及代数体函数增长性与级和下级关系中的n个判别常数推广为n个增长较慢的亚纯函数.

It is an important topic to extend constants to functions in the theory of value-distribution. Valiron wahlund and williamson get some relations between the increase and the order or lower order of entire functions. Ozawa extend thei results to n-valued entire algebroid functions with n mutually distinct constants. In this paper, we extend further the constants to n meromorphic functions which fncrease slowly.