Department of Mathematics
Shandong University
Jinan, 250100, China
email: ctb97@163.com
Ting-Bin Cao
Abstract:
In this paper, we investigate higher-order linear differential
equations with entire coefficients of iterated order.
We improve and extend a result of Belaidi and Hamouda
by using the estimates for the logarithmic derivative
of a transcendental meromorphic function due to Gundersen and the
Winman-Valiron theory. We also consider the nonhomogeneous linear
differential equations by using the basic method and some
lemmas from the present and other three authors.
Submitted February 21, 2006. Published July 19, 2006.
Math Subject Classifications: 34M10, 30D35.
Key Words: Linear differential equation; meromorphic function;
iterated order; iterated convergence exponent.
Show me the PDF file (226K), TEX file, and other files for this article.
|
Ting-Bin Cao Department of Mathematics Shandong University Jinan, 250100, China email: ctb97@163.com |
|---|
Return to the EJDE web page