Laine, IlpoYang, Ronghua2021-04-232021-04-232004-04-28Laine, I., & Yang, R. (2004). Finite order solutions of complex linear differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(65), pp. 1-8.1072-6691https://hdl.handle.net/10877/13418We shall consider the growth of solutions of complex linear homogeneous differential equations ƒ(k) + Ak-1(z) ƒ(k-1) +‧‧‧+ A1(z) ƒ' + A0(z) ƒ = 0 with entire coefficients. If one of the intermediate coefficients in exponentially dominating in a sector and ƒ is of finite order, then a derivative ƒ(j) is asymptotically constant in a slightly smaller sector. We also find conditions on the coefficients to ensure that all transcendental solutions are of infinite order. This paper extends previous results due to Gundersen and to Belaïdi and Hamani.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalLinear differential equationsGrowth of solutionsIterated orderArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.