Electron. J. Diff. Equ., Vol. 2012 (2012), No. 226, pp. 1-15.

Growth of solutions to linear differential equations with entire coefficients

Hui Hu, Xiu-Min Zheng

Abstract:
In this article, we study the growth of solutions of linear differential equations with some dominant entire coefficients. Especially, we obtain some results on the iterated p-lower order of these solutions, which extend previous results. Moreover, we investigate the iterated exponent of convergence of distinct zeros of $f^{(j)}(z)-\varphi(z)$.

Submitted May 8, 2012. Published December 17, 2012.
Math Subject Classifications: 30D35, 34M05.
Key Words: Iterated p-order; iterated p-lower order; iterated p-lower type; iterated exponent of convergence of distinct zeros.

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Hui Hu
Institute of Mathematics and Information Science
Jiangxi Normal University, 330022, China
email: h_h87_6@hotmail.com
Xiu-Min Zheng
Institute of Mathematics and Information Science
Jiangxi Normal University, 330022, China
email: zhengxiumin2008@sina.com

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