The hyperorder of solutions of second-order linear differential equations (Q2318911)

Summary: We prove that the hyperorder of every nontrivial solution of homogenous linear differential equations of type \(f'' + A_1(z) e^{a z} f' + A_0(z) e^{b z} f = 0\) and nonhomogeneous equation of type \(f'' + A_1(z) e^{a z} f' + A_0(z) e^{b z} f = H(z)\) is one, where \(A_0\), \(A_1\), \(H(z)\) are entire functions of order less than one, improving the previous results of Chen, Wang, and Laine.