Wu, Zhaojun; Tian, Honggen; Wu, Jia On the distribution of zeros of solutions of second order differential equations. (Chinese. English summary) Zbl 1199.34475 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 1, 179-185 (2009). Summary: We investigate the distribution of zeros of solutions of the second order differential equation \[ f''+A(z)f= 0, \] where \(A(z)\) is an entire function of finite order. By using Nevanlinna’s characteristic function and Ahlfors-Shimizu’s characteristic function, on an angular domain, we establish the existence of some ray with the property that, in its neighborhood, the exponent of convergence of the zero-sequence is infinite. MSC: 34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Keywords:exponent of convergence; zero-sequence; complex oscillation; hyper order; Borel direction PDFBibTeX XMLCite \textit{Z. Wu} et al., Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 1, 179--185 (2009; Zbl 1199.34475)