Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (1): 75-80.

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

  

  1. 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);

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

CLC Number: