Acta mathematica scientia, Series B >
ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS
Received date: 2011-10-02
Revised date: 2012-06-28
Online published: 2013-03-20
Supported by
This project was supported by the National Natural Science Foundation of China (11171119) and Funding of Tianyuan (11226090).
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).
Key words： Differential equation; exponent of convergence of zeros; type
LAN Shuang-Ting , CHEN Zong-Xuan . ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2013 , 33(2) : 556 -564 . DOI: 10.1016/S0252-9602(13)60019-3
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