摘要
本文证明了:(1)设w=w(z)是复平面上v-值整代数体函数a是一个非零复数,整数n≥4v-1,那么w'-aw^n取任何有限复数无穷多次.除非w(z)是代数函数;(2)设w=w(z)是复平面上v-值数体函代数,整数n≥2v+3,那么对任何有限复数b,(w-b)/w”至多有v-1个非零有限Picard例外值,除非w(z)是代数函数.
This paper proves the following: (1) Suppose that w (z) is a v-valued entive dgebroid function and set h(z)=w'(z)-aw(z)~n, where n is a positive integer and a≠0.Then if n≥4v-1, h(z)assumes every finite value infinitely often unless w(z)is algebraic.(2) Suppose that w(z)is a v-valued entire algebroid function and set h(z)=(w'(z)-b)/w(z)~n, where n is a positive integer and b is a complex number.Then if n≥2v+3, h(z)has at most v-l Picard values unless w(z)is algebraic.
出处
《华东师范大学学报（自然科学版）》
CAS
CSCD
1992年第4期38-45,共8页
Journal of East China Normal University(Natural Science)
