数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 556-564.doi: 10.1016/S0252-9602(13)60019-3
蓝双婷|陈宗煊
LAN Shuang-Ting, CHEN Zong-Xuan
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
f(k) + Ak−1f(k−1) + … + A0f = 0
satisfies λ(f) = 1, where λ(f) denotes the exponent of convergence of zeros of the meromor-phic function f(z).
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