微分多项式ff(k)-α的零点与其相应的正规定则

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 75-80.

微分多项式ff^(k)-α的零点与其相应的正规定则

1. College of Sciences, Southwest University of Science and Technology2. College of Science, Chongqing University

收稿日期:2005-10-08 出版日期:2009-03-30 发布日期:2023-09-08
作者简介:LU Qian(1965- ), male, native of Zhongjiang, Sichuan, an associate professor of Southwest University of Science and Technology, Ph.D., engages in complex analysis; GU Yong-xing(1939- ), male, native of Changshu, Jiangsu, a professor of Chongqing University, engages in complex analysis.
基金资助:
Supported by the National Natural Science Foundation of Education Department of Sichuan Province(2002A031)； Supported by the “11.5” Research and Study Programs of SWUST(06zx2116)； Supported by the National Natural Science Foundation of China(10271122)；

Zeros of Differential Polynomial f(z)f^(k)(z) − a and Its Normality

1. College of Sciences, Southwest University of Science and Technology2. College of Science, Chongqing University

Received:2005-10-08 Online:2009-03-30 Published:2023-09-08
Supported by:
Supported by the National Natural Science Foundation of Education Department of Sichuan Province(2002A031)； Supported by the “11.5” Research and Study Programs of SWUST(06zx2116)； Supported by the National Natural Science Foundation of China(10271122)；

摘要/Abstract

摘要： Suppose that function f(z) is transcendental and meromorphic in the plane. The aim of this work is to investigate the conditions in which differential monomials f(z)f^(k)(z) takes any non-zero finite complex number infinitely times and to consider the normality relation to differential monomials f(z)f^(k)(z).

关键词: differential polynomial, meromorphic functions, zeros, normlity

Abstract: Suppose that function f(z) is transcendental and meromorphic in the plane. The aim of this work is to investigate the conditions in which differential monomials f(z)f^(k)(z) takes any non-zero finite complex number infinitely times and to consider the normality relation to differential monomials f(z)f^(k)(z).

Key words: differential polynomial, meromorphic functions, zeros, normlity

中图分类号:

O174.52

卢谦, 顾永兴. 微分多项式ff^(k)-α的零点与其相应的正规定则[J]. 数学季刊, 2009, 24(1): 75-80.

LU Qian, GU Yong-xing. Zeros of Differential Polynomial f(z)f^(k)(z) − a and Its Normality[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 75-80.

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