应用数学2009，Vol.22Issue(4)：755-762,8.
高阶复微分方程关于迭代级的辐角分布
Angular Distribution with Iterated-order in Higher Order Complex Differential Equation
摘要
Abstract
Let A_j (j = 0, 1,…,k- 2) be entire functions and i(A_0) = p,i(A_j) <p, or σ(A_j) <σ(A)(j = 1,2,…,k-2),0<p<+∞. In this paper,we investigate the angular distribution of zeros of solutions of equation f~((k)) +A_(k-2)f~(k-2) + … +A_0f = 0(k ≥ 2). A relation between a ray of zeros of the solution of higher order differential equation and Borel direction is established, which generalize the results of Yi Caifeng et al.关键词
辐角分布/迭代级/复微分方程Key words
Angular distribution/ Iterated-order/ Complex differential equation分类
数理科学引用本文复制引用
徐洪焱,易才凤..高阶复微分方程关于迭代级的辐角分布[J].应用数学,2009,22(4):755-762,8.基金项目
国家自然科学基金资助项目(10871108),景德镇陶瓷学院科研资助项目 （10871108）
