Tu, Jin; Deng, Guantie Growth of solutions of higher order linear differential equations with the coefficient \(A_0\) being dominant. (Chinese. English summary) Zbl 1240.30126 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 4, 945-952 (2010). 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. Cited in 4 Documents 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 Keywords:differential equations; entire function; unit disc; iterated order; iterated type PDF BibTeX XML Cite \textit{J. Tu} and \textit{G. Deng}, Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 4, 945--952 (2010; Zbl 1240.30126)