Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations

Abstract EN

This paper is devoted to studying the growth of solutions of second-order nonhomogeneous linear differential equation with meromorphic coefficients.

We also discuss the relationship between small functions and differential polynomials L(f)=d2f″+d1f′+d0f generated by solutions of the above equation, where d0(z),d1(z), and d2(z) are entire functions that are not all equal to zero.