Complex oscillation of entire solutions of higher-order linear differential equations
Texas State University-San Marcos, Department of Mathematics
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.
Linear differential equation, Meromorphic function, Iterated order, Iterated convergence exponent
Cao, T. B. (2006). Complex oscillation of entire solutions of higher-order linear differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(81), pp. 1-8.
Attribution 4.0 International