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Growth of solutions of higher order linear differential equations with the coefficient \(A_0\) being dominant. (Chinese. English summary) Zbl 1240.30126
Summary: In this paper, the authors investigate the growth of solutions of a class of higher order linear homogeneous differential equations, where the coefficient \(A_0\) dominates the growth of solutions of the equations. Two main results are obtained: one is in the complex plane and the other is in the unit disc, which are improvements of some previous results.

30D15 Special classes of entire functions of one complex variable and growth estimates
34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain