Further Extension on a Theorem of the Value Distribution of f′f^n
Further Extension on a Theorem of the Value Distribution of f′f^n作者机构:Department of Mathematics and Information Engineering Puyang Professional Technical Institute Puyang 457000 China College of Mathematics and Information Science Henan University Kaifeng 475001 China
出 版 物:《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文版))
年 卷 期:2007年第22卷第1期
页 面:155-158页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:Supported by the Nature Science foundation of Henan Province(0211050200)
主 题:transcendental meromorphic value distribution small function
摘 要:By using small function method, the following result is obtained. If f(z) is transcendental meromorphic and that ψ(z) is non-zero meromorphic and that T(r,ψ) = S(r, f), then(n+1)T(r,f)≤N^-(r,1/f'f^n-ψ)+2N^-(r,1/f)+N^-(r,f)+S(r,f).