Geodesic
Complex oscillation of entire solutions of higher-order linear differential equations
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Cao, Ting-Bin},
     title = {Complex oscillation of entire solutions of higher-order linear differential equations},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a131/}
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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__a131/