ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS  

作　　者：蓝双婷 陈宗煊 

机构地区：[1]School of Mathematical Sciences,South China Normal University

出　　处：《Acta Mathematica Scientia》2013年第2期556-564,共9页数学物理学报（B辑英文版）

基　　金：supported by the National Natura Science Foundation of China (11171119);Funding of Tianyuan (11226090)

摘　　要：In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcendental solution f（z） of equation……satisfies ）λ（f） =∞, where A（f） denotes the exponent of convergence of zeros of the meromor- phic function f（z）.In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcendental solution f（z） of equation……satisfies ）λ（f） =∞, where A（f） denotes the exponent of convergence of zeros of the meromor- phic function f（z）.

关 键 词：Differential equation exponent of convergence of zeros TYPE 

分 类 号：O175[理学—数学]