Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 92-97.

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On the Location of Zeros of Higher Order Differential Equation

  

  1. 1. Department of Mathematics and Physics, Xinyu College2. Department of Mathematics, Xianning College
  • Received:2006-06-21 Online:2010-03-30 Published:2023-06-09
  • About author: CHEN Yu-xian(1968- ), male, native of Yongxin, Jiangxi, M.D.S., a professor of Xinyu College, engages in complex analysis; WU Zhao-jun(1978- ), male, native of Xianning, Hubei, Ph.D., engages in complex analysis.
  • Supported by:
    Supported by the NSF of China(10471048);

Abstract: In this paper, by using the Nevanlinna Theory on angular domain, we establish a theorem which concerns the growth of entire function and his zero. As an application, we survey the location of zero of higher order differential equation, which can be regarded as an alternating but precise version of Wu[6] and Yi[7].

Key words: second order exponent convergence, Nevanlinna theory, higher order differential
equation

CLC Number: