关于一类微分多项式的值分布

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 23-29.

关于一类微分多项式的值分布

1. Department of Mathematics and Physics, Wuyi University Jiangmen2. Department of Mathematics, Zhaoqing University

收稿日期:2006-12-08 出版日期:2010-03-30 发布日期:2023-06-07
作者简介: XU Jun-feng(1979- ), male, native of Nanzhang, Hubei, Ph.D., engages in complex analysis; ZHANG Zhan-liang(1962- ), male, native of Hezhe, Shandong, a professor of Zhaoqing University, engages in complex analysis.
基金资助:
Supported by the NSF of China(10771121)； Supported by the ”Yumiao” Project of Guangdong Province(LYM08097)；

Value Distribution of a Class of Differential Polynomials

1. Department of Mathematics and Physics, Wuyi University Jiangmen2. Department of Mathematics, Zhaoqing University

Received:2006-12-08 Online:2010-03-30 Published:2023-06-07
About author: XU Jun-feng(1979- ), male, native of Nanzhang, Hubei, Ph.D., engages in complex analysis; ZHANG Zhan-liang(1962- ), male, native of Hezhe, Shandong, a professor of Zhaoqing University, engages in complex analysis.
Supported by:
Supported by the NSF of China(10771121)； Supported by the ”Yumiao” Project of Guangdong Province(LYM08097)；

摘要/Abstract

摘要： Let f(z) be a transcendental meromorphic function in the complex plane and a = 0 be a constant, for any positive integer m,n,k, satisfy m ≥ nk+n+2, ψ = f^m+a(f^(k))ⁿhas infinitely many zeros. The corresponding normal criterion also is proved.

关键词: meromorphic function, differential polynomials, zeros, normal family

Abstract: Let f(z) be a transcendental meromorphic function in the complex plane and a = 0 be a constant, for any positive integer m,n,k, satisfy m ≥ nk+n+2, ψ = f^m+a(f^(k))ⁿhas infinitely many zeros. The corresponding normal criterion also is proved.

Key words: meromorphic function, differential polynomials, zeros, normal family

中图分类号:

O174.52

徐俊峰, 张占亮. 关于一类微分多项式的值分布[J]. 数学季刊, 2010, 25(1): 23-29.

XU Jun-feng, ZHANG Zhan-liang. Value Distribution of a Class of Differential Polynomials [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 23-29.

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