Nonhomogeneous linear differential polynomials generated by solutions of complex differential equations in the unit disc

Abstract

We consider the complex oscillation of nonhomogeneous linear differential polynomials g k = k j=0 djf (j) +b, where dj (j = 0, 1,. .. , k) and b are meromorphic functions of finite [p,q]-order in the unit disc ∆, generated by meromorphic solutions of linear differential equations with meromorphic coefficients of finite [p,q]-order in ∆.