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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.

##### MSC:
 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