文献类型：期刊文献

中文题名：RESULTS ON A QUESTION OF ZHANG AND YANG

英文题名：RESULTS ON A QUESTION OF ZHANG AND YANG

作者：Li Sheng[1,2,3];Gao Zongsheng[1,2]

机构：[1]Beihang Univ, LMIB, Beijing 100191, Peoples R China;[2]Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China;[3]Guangdong Ocean Univ, Coll Sci, Zhanjiang 524088, Peoples R China

年份：2012

卷号：32

期号：2

起止页码：717

中文期刊名：数学物理学报：B辑英文版

外文期刊名：ACTA MATHEMATICA SCIENTIA

收录：SCI-EXPANDED(收录号：WOS:000301897600024)、CSTPCD、、Scopus(收录号：2-s2.0-84857735347)、CSCD2011_2012、WOS、CSCD

基金：This work is supported by NNSF of China (11171013) and Fundamental Research Funds for the Central Universities NO. 300414. The first author is also supported by the Innovation Foundation of BUAA for Ph.D. Candidates.

语种：英文

中文关键词：张学良;作者;亚纯函数;虎;计数功能;常数;零点;非零

外文关键词：Nevanlinna theory; shared value; derivative

中文摘要：For a meromorphic function f,let N(l+1(r,1/f) denote the counting function of zeros of f of order l at least.Let f be a nonconstant meromorphic function,such that N(r,f) = S(r,f).Denote F = fn.Suppose that F and F' share 1 CM.If(1) n ≥ 3,or(2) n = 2 and N(r,1 f) = O(N(3(r,1/f)),then,F = F',and f assumes the form where c is a nonzero constant.This main result of this article gives a positive answer to a question raised by Zhang and Yang [1] for the meromorphic functions case in some sense.And a relative result is proved.

外文摘要：For a meromorphic function f, let N(l+1 (T, 1/f) denote the counting function of zeros of f of order l at least. Let f be a nonconstant merornorphic function, such that (N) over bar (r, f) = S(r, f). Denote F = f(n). Suppose that F and F' share 1 CM. If (1) n >= 3, or (2) n = 2 and N(r,1/f)) = O(N-(3(r,1/f), then, F = F' and f assumes the form f(z) = ce(1z/n), where c is a nonzero constant. This main result of this article gives a positive answer to a question raised by Zhang and Yang [1] for the meromorphic functions case in some sense. And a relative result is proved.