On the zeros of solutions and their derivatives of second order non-homogeneous linear differential equations. (English) Zbl 1340.34344

Summary: This paper is devoted to the study of the growth and oscillation of solutions and their derivatives of equations of the type \[ f^{\prime \prime}+A\left( z\right) f^{\prime}+B\left( z\right) f=F\left(z\right) , \] where \(A\left( z\right) ,B\left( z\right) \left( \not\equiv 0\right) \) and \(F\left( z\right) \left( \not\equiv 0\right) \) are meromorphic functions of finite order.


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
34M03 Linear ordinary differential equations and systems in the complex domain