Relation between differential polynomials of certain complex linear differential equations and meromorphic functions of finite order (Q1002469)

The authors study a special second order linear differential equation with coefficients of exponential type and investigate the growth of the exponent of convergence of the distinct zeros of a differential polynomial of the meromorphic solution \(f\) of the form \(d_2f''+ d_1f' + d_0f - \varphi\), where \(f\) has a finite exponent of convergence of poles, \(\varphi\) is a meromorphic function of finite order and \(d_j\) (\(j=0, 1, 2\)) are polynomials.