一类无穷级亚纯函数的性质  

The Properties of a Kind of Meromorphic Functions with Infinite Order

作　　者：郭锋[1] 苏敏[1] 

机构地区：[1]云南师范大学数学学院,云南昆明650092

出　　处：《云南师范大学学报（自然科学版）》2012年第3期46-49,共4页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：研究了一类无穷级亚纯函数其零点集合在一阶导数下的取值是否一定无界,如果m∈N,α(z)为C上的超越整函数,α'(z)≠0,f(z)=1/(eα(z)-1)m+z,则Mf={f'(z)|z∈C,f(z)=0}无界;在一定条件下对W.Bergweiler的问题予以肯定的回答.In this paper, we research whether the set of derivative function with one order at zeros of a kind of meromorphic functions with infinite order is unbounded. Letm ∈N,α（z） is entire function,α＇（z）≠0,f（z）=1/（eα（z）-1）m＋z,then,Mf={f＇（z）｜z∈C,f（z）=0}is unbounded;The result has shown the answer of the problem of W. Bergweiler with proper condition is right.

关 键 词：亚纯函数 无穷级 PICARD例外值 

分 类 号：O174[理学—数学]