%A WEI Wen-long, HUANG Zhi-gang
%T Borel directions of solutions of a second order linear complex differential equation
%0 Journal Article
%D 2019
%J Journal of East China Normal University(Natural Science)
%R 10.3969/j.issn.1000-5641.2019.02.005
%P 49-55
%V 2019
%N 2
%U {https://xblk.ecnu.edu.cn/CN/abstract/article_25597.shtml}
%8 2019-03-25
%X In this paper, we consider the Borel directions of solutions of the differential equation *f*" + *A*(*z*)*f*' +*B*(*z*)*f*=0. By using Nevanlinna's value distribution theory and assuming that *A*(*z*) is extremal for Yang's inequality, we provide conditions for *B*(*z*) that guarantee that every non-trivial solution *f* of the equation is of infinite order; we also calculate the number of Borel directions of these solutions.