Growth and oscillation of differential polynomials in the unit disc

Abstract

In this article, we give sufficiently conditions for the solutions and the differential polynomials generated by second-order differential equations to have the same properties of growth and oscillation. Also answer to the question posed by Cao [6] for the second-order linear differential equations in the unit disc.

Keywords

• Linear differential equations
• analytic solutions
• hyper order
• exponent of convergence
• hyper exponent of convergence