Orders of Solutions of an n-th Order Linear Differential Equation with Entire Coefficients
Abstract
We study the solutions of the differential equation
f(n) + An-1(z) ƒ(n-1) + ∙∙∙ + A1(z) ƒ' + A0(z) ƒ = 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.
Citation
Belaidi, B., & Hamouda, S. (2001). Orders of solutions of an n-th order linear differential equation with entire coefficients. Electronic Journal of Differential Equations, 2001(61), pp. 1-5.Rights License
This work is licensed under a Creative Commons Attribution 4.0 International License.
