The growth of solutions of non-homogeneous linear differential equations
Infinite order of entire solutions to non-homogeneous linear differential equations with entire coefficients is one of the most interesting and important topics in the field of complex differential equations. In this paper under review, the authors mainly consider the second order non-homegeneous linear differential equation \(f^{''}+A(f)f+B(z)f=H(z),\) where \(A, B\not\equiv 0\) \(H\not\equiv 0\) are entire functions. Some conditions are given to show the existence of infinite order entire solutions. The hyper order is also used to describe the growth of solutions. The results in this paper are interesting.
scientific article; zbMATH DE number 7444591
scientific article