Growth and oscillation of differential polynomials generated by complex differential equations

Abstract

The main purpose of this article is to study the controllability of solutions to the linear differential equation $$ f^{(k)}+A(z) f=0quad (kgeqslant 2) . $$ We study the growth and oscillation of higher-order differential polynomials with meromorphic coefficients generated by solutions of the above differential equation.

Keywords

• Linear differential equations
• finite order
• hyper-order
• sequence of zeros
• exponent of convergence
• hyper-exponent of convergence