On Complex Oscillation Theory

被引：7

作者：

Alotaibi A. ^{[1
]}

机构：

[1] School of mathematics University Park University of Nottingham

来源：

Results in Mathematics | 2005年 / 47卷 / 3-4期

关键词：

30D35; complex oscillation theory; Exponent of convergence; Nevanlinna theory; order of growth;

D O I：

10.1007/BF03323023

中图分类号：

学科分类号：

摘要：

Suppose that A is a transcendental entire function with ρ(A)<1/2 Suppose that k ≥ 2 and y(k) + Ay = 0 has a solution ƒ with λ(ƒ) < ρ(A), and suppose that A1 = A + h where h ≠ 0 is an entire function with ρ(h) < ρ(A). Then y(k) + A1y = 0 does not have a solution g with λ(g) < ρ(A). © 2005, Birkhäuser Verlag, Basel.

引用

页码：165 / 175

页数：10

共 11 条

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