Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 61, pp. 1-5.
Title: Orders of solutions of an n-th order linear differential equation
with entire coefficients
Authors: Benharrat Belaidi (Univ. of Mostaganem, Algeria)
Saada Hamouda (Univ. of Mostaganem, Algeria)
Abstract:
We study the solutions of the differential equation
$$
f^{(n)}+A_{n-1}(z) f^{(n-1) }+\dots+A_{1}(z)f'+A_{0}(z) f=0,
$$
where the coefficients are entire functions.
We find conditions on the coefficients so that
every solution that is not identically zero has infinite order.
Submitted July 23, 2001. Published September 17, 2001.
Math Subject Classifications: 30D35, 34M10, 34C10, 34C11.
Key Words: Linear differential equations; entire functions; order of growth.