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Complex oscillation of entire solutions of higher-order linear differential equations. (English) Zbl 1117.34082

Summary: 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 nonhomogeneous linear differential equations.

MSC:

34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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