Orders of Solutions of an n-th Order Linear Differential Equation with Entire Coefficients
Date
2001-09-17
Authors
Belaidi, Benharrat
Hamouda, Saada
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Linear differential equations, Entire functions, Order of growth
Citation
Belaidi, B., & Hamouda, S. (2001). Orders of solutions of an n-th order linear differential equation with entire coefficients. <i>Electronic Journal of Differential Equations, 2001</i>(61), pp. 1-5.