复非齐次线性微分方程解的生长阶

Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.819

H. Habib, B. Belaïdi

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引用次数: 1

摘要

本文研究了非齐次线性微分方程f (k) +Ak−1e f (k−1)+···+A1ef′+A0ef = F1e + F2e解的生长阶，其中Aj (z)(6≡0)(j = 0,1，···，k−1)，Fj (z)(6≡0)(j = 1,2)是整函数，a, b是复数，使得ab (a−b) 6= 0。

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On the Order of Growth of Solutions to Complex Non-homogeneous Linear Differential Equations

In this paper, we study the order of growth of solutions to the nonhomogeneous linear differential equation f (k) +Ak−1e f (k−1) + · · ·+A1ef ′ +A0ef = F1e + F2e, where Aj (z) ( 6≡ 0) (j = 0, 1, · · · , k − 1), Fj (z) ( 6≡ 0) (j = 1, 2) are entire functions and a, b are complex numbers such that ab (a− b) 6= 0.

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