On the value distribution of ff(k)

Kodai Mathematical Journal

Pei Chu Hu¹  Chung Chun Yang¹ 

关键词: Entire function;    Meromorphic function;    Picard value;    Deficient condition;   

DOI  :  10.2996/kmj/1138043595

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(17)Let f be a transcendental entire function. In this paper we will prove that if f is of finite order, then there exists at most one integer k{≥}2 such that ff(k) may have non-zero and finite Picard exceptional value. We also give a class of entire functions which have no non-zero finite Picard values. If f is a transcendental meromorphic function, we obtain that for non-negative integers n, n1, …, nk with n{≥}1, n1+…+nk{≥}1, if δ(o, f)>3/(3n+3n1+…+3nk+1), then fn(f')n1…(fk)nk has no finite non-zero Picard values.

【 授权许可】

Unknown