Geodesic
Complex oscillation of entire solutions of higher-order linear differential equations
Electronic journal of differential equations, Tome 2006 (2006)
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.
Classification : 34M10, 30D35
Keywords: linear differential equation, meromorphic function, iterated order, iterated convergence exponent 
@article{EJDE_2006__2006__a31,
     author = {Cao,  Ting-Bin},
     title = {Complex oscillation of entire solutions of higher-order linear differential equations},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1117.34082},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a31/}
}
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Cao,  Ting-Bin. Complex oscillation of entire solutions of higher-order linear differential equations. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a31/